Category: Maths Notes PPT

First thing first, a Factor is a Number that divides a Number at one go without producing any remainder. For example, if we multiply 2 with 3, the result will be 6. So if we divide 6 by 3 we will get 2 and if we divide 6 by 3 we will get 2. This means that 2 and 3 are the Factors of 6. Now, what are the Factors of 72? Well, Factors of 72 are the Numbers that when multiplied together in a pair of two return the result as 72. Therefore, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 are the Factors of 72. 

How to Find the Factors of 72?

In order to see what are the true Factors of 72, we will divide 72 by all the Numbers starting from 1 to 72.

Therefore, we conclude that the Factors we stated were true and were the only Factors of 72. So there are a total of 12 Factors of 72. 

Pair Factors of 72

Pair Factors are the combinations of any two Factors that are multiplied together to give 72 as the product. Here we can see all the Positive pair Factors of 72. 

Solved Examples

Example 1) Find the Factors of the following Numbers:

i) 87

ii) 162

iii) 52

iv) 72

v) 198

Solution 1) let us find the Factors of the following Numbers:

i) Factors of 87 are:

ii) Factors of 162 are:

iii) Factors of 52 are:

iv) Factors of 72 are: 

v) Factors of 198 are:

Example 2) Find the Factors of the Following:

i) 124

ii) 72

iii) 66

iv) 57

v) 180

Solution 2) Finding the Factors of the following Numbers:

i) The Factors of 124 are: 

ii) Factors of 72 are:

iii) Factors of 66 are:

iv) Factors of 57 are:

v) Factors of 180 are:

What are the various methods of Calculating Factors of 72?

There are two methods to calculate the Factors of 72. Both these methods are quite easy to understand. Here is a quick overview of these Factorisation methods: 

1. Division Method: For calculating the Factors of 72 by division method, you have to use the Numbers that can divide 72 without leaving a remainder. Here are the Factors of 72 as per the division method: 

• 72 ÷ 1 = 72

• 72 ÷ 2 = 36

• 72 ÷ 3 = 24

• 72 ÷ 4 = 18

• 72 ÷ 6 = 12

• 72 ÷ 8 = 9

• 72 ÷ 9 = 8

• 72 ÷ 12 = 6

• 72 ÷ 18 = 4

• 72 ÷ 24 = 3

• 72 ÷ 36 = 2

• 72 ÷ 72 = 1

2. Prime Factorisation Method: In this method, you have to express 72 as a product of its prime Factors. Start by dividing 72 with the smallest prime Number i.e. 2, which gives you 36. Then divide 72 by 3 to obtain 36. And keep doing so until you receive 1 as your quotient. So the prime Factors of 72 are  2 [times] 2 [times] 2 [times] 3 [times] 3.  

Tips to Find the Factors of 72 – Pair Factors and Solved Examples

Factors and multiples are important concepts of Mathematics. That is why you must  know the best ways to solve the questions related to these topics.  Here are some tips and tricks to find the Factors of 72 and other Numbers as well: 

• Whether you choose the division method or the prime Factorisation method, make sure to follow the right sequence of steps to obtain the correct answer.

• Gain a good understanding of the formulas or concepts used to find the Factors of 72 and other Numbers. 

• Once you understand how to find the Factors of 72, you will be able to calculate the Factors of any given Number. 

• By practising more questions related to the Factors of 72, you can become more efficient and strengthen your grasp of the concept. 

• Once you are done finding the Factors of 72, cross-check your answer to check whether you have understood the topic or not. 

• If you have made any mistakes in your calculation, try to rectify them as soon as possible. It will help you avoid silly mistakes in your exams and secure excellent marks. 

• You can try different questions from other reference books to test your knowledge and see whether you have understood the topic or not.

• Have a firm grip on both the methods to calculate Factors of a Number by practising more questions.   

Geometry and Symmetry

Geometry and Symmetry do not sound like photographic techniques more than the sort of things you would study from a math book.

Mathematically, symmetrical shapes are beautiful, powerful compositional tools that make images stand out from the crowd. Geometry and symmetry are two techniques that work better when combined. Both are powerful compositional tools in their own terms. Both Geometry and symmetry are found in nature as well as in man-made worlds when combined in one single shot can lead to some fantastic images. In this article we will discuss symmetry geometry, what are geometry and symmetry, Meaning of symmetry in Mathematics, etc.

Meaning of Symmetry in Geometry

In symmetry Geometry, an object has symmetry if there is an operation or transformation (such as rotational, reflection or translation) that represents a figure or objects to its original shape. Hence, symmetry geometry can be defined as the immunity to change. For example, a circle  when rotated about its center will have a similar shape and size as the original circle as all the points of the circle after and before transformation would be indistinguishable. Hence, a circle in geometry is said to be symmetric under rotation or rotational symmetry.

What are Geometry and Symmetry?

Let’s study about geometry and symmetry in photography.

Symmetry is drawn when either the bottom, top, left or right diagonals are mirror images of each other. Symmetry by its definition enables you to think outside of the rule of thirds’.

Symmetry even feels unnatural to seasoned photographers to use a center point to define your composition. Although symmetry occurs in nature, it is quite more visible in the man-made world.

Geometry is the Science of Different Shapes.

Square,line of triangles and circle all are geometrical elements that can be used in geometry. We can make use of hard-edge geometrical shapes to design bold imagery or more subtle “soft-edged” geometry to define a composition.

Both geometry and symmetry do not have to be restricted to physics. Lights and shapes can also have geometrical shapes and manifest symmetry.

Symmetry in Mathematics.

In Mathematics,symmetry is defined that one shape will exactly look like another shape when it is flipped, turned or rotated. For example, if you draw the heart shape in a paper and cut out from a piece of paper, design one – half of the heart at the fold and cut it to find the other half exactly similar to the first half. The heart extracted is an example of symmetry

The definition of symmetry in Maths states that ‘symmetry pictures in Maths is a mirror image’.When an image exactly looks like the original image after it has been turned or flipped then it is known as symmetry.

Symmetry Picture in Maths

Here, we will discuss symmetry pictures in Maths.

We know that symmetrical pictures in Maths may have one or more than one line of symmetry.

Some symmetrical pictures in maths have one line of symmetry, two lines of symmetry or infinite lines of symmetry.

The symmetrical shapes given below having one line of symmetry

The symmetrical shapes given below have two lines of symmetry.

The symmetrical shape given below having three lines of symmetry.

The symmetrical shape given below having four lines of symmetry.

The Symmetrical shape given below has an infinite line of symmetry.

Solved Examples

1. The Picture Given Below is the Half Part and its Line of Symmetry. Complete the Picture Below.

Solution:

The complete picture of the figure given in the questions is given below:

The other part of the picture should be the same as the given half. We can use the grids to find the other part of the picture.

2. Which of the Figures Given Below Does not have a Line of Symmetry?

Solution:

If we wrap both the papers from top to down as shown in figure A1 and B1, we find a line of symmetry in figure A but not in figure B. If we wrap both the papers from left to right as shown in figure below A2 and B2, we will not find any line of symmetries in both A and B.

Quiz Time

1. Which of the Following Letters Below has no Line of Symmetry

1. U

2. H

3. S

4. A

2. How Many Lines of Symmetry are there in a Scalene Triangle?

1. 3

2. 0

3. 2

4. 1

3. What Letter Given Below Looks the Same after Reflection when the Mirror is Placed Vertically?

1. H

2. Q

3. P

4. S

Fun Facts

Fractions worksheet for Class 6 and 7 are customised to help every learner gain the confidence to solve equations. Worksheets are special task sheets offering selective questions for all-round development. Students who want to sharpen their skills in maths can practice from the fractions Class 6 worksheet pdf and exercises. 

These worksheets cover almost all the concepts of higher secondary boards and CBSE. Moreover, one can also check fractions worksheet for class 7 to widen their knowledge.

The central board of secondary education or CBSE and other national boards conducts final exams every year. Young learners need to be prepared with concepts and solutions to answer the tricky parts quickly. 

Worksheets can prove to be beneficial during revisions. Therefore, these fraction worksheet for grade 6 and class 7 have been compiled to assist students to accomplish desired grades. The best part about the 

By reading this section, students will know the importance of practising from a worksheet. We have provided some examples of questions generally found in fraction exercise for Class 6 and 7.

Why Choose Fractions and Decimals Class 7 Worksheet?

A fraction and decimal are usually presented simply if the denominator and numerator lack standard value. It is unfeasible to calculate a value in a fraction if there are divisors to denominator and numerator.

It is seen that understanding the concept of relations between fractions and general fractions is quite tough. There are several types of numbers, formulas, concepts, abstracts and more which keeps confusing learners. Finding a study guide with an explanation of complicated and straightforward equations seems fruitful.

The Grade 7 fractions worksheets, therefore, starts with an explanation on the topic and simple equations. Thereafter, they proceed to various applications and formulas required in solving fractions. 

Furthermore, the questions in the fractions worksheet for Class 6 and 7 are all based on the NCERT and CBSE Syllabus. This helps in strengthening the base of mathematics which is gain fruitful during national or international level exams.

To procure a worthy revision, students need to be fluent with basic concepts and then proceed with worksheets offering fraction problems for Class 6.

Single answer questions which require a prior understanding of the topics and long questions are also present in the worksheets. 

Here are some examples of questions usually found in the fraction worksheet.

The Best Examples of Fraction Worksheet

A. Circles in a Fraction 

This sort of question in the fractions worksheet for Class 6 and 7 requires young learners to compare fractions. There are fraction circles in black and white colour for answering. Students need to darken the answer with a pen or pencil. They have to find the fitting circle to represent the first fraction and tick the second fraction. After circling, they need to compare the lesser or greater or two equal fractions. 

B. Comparing Simple Fractions

One can find various approaches to compare fraction and solve fraction word problems for Class 6. Visualisation of concepts based on fraction will help in accessing the equation better. Questions like fraction strips will help in this concern. Here a student can use a ruler to compare the fractions.  There are various strips which can be half or third of the given data.

C. Strips in Fraction Questions for Class 7

Fraction strips can be used for permanence and comparison to proceed with subtraction and addition. They are handy for contrasting fractions.  Students need to cut the stripes in the given projection slips. In combination with paper versions, this will be transparent and variable.

D. Fractions on a Number Line

This form of a question in fraction sums for class 7 is relevant for comparing. Using number lines, fraction strips, or finding decimal equivalents will help in ordering fractions. Students practising these will be able to arrange fractions in the correct order without hassle.

Apart from these questions, one can check , to find quality worksheets for fraction sums for Class 6. They are a reputed educational portal offering a plethora of study materials. They cover almost every topic required for general exams and competitive exams. So, why wait? Download the app today to practice from the fractions worksheet for Class 6 and 7!

In simple terms, we can say the line is a figure which has no curvature. In two variables, the general equation of a line of the first degree is represented as

Ax + By +C = 0,

A, B ≠ 0 where A, B, and C are constants that belong to real numbers.

Coordinate of a point is denoted by writing the x-coordinate first and then y-coordinate, which is separated by a comma.

What is a Line?

A line is defined by its length but not by its width. A line could be a  two-dimensional geometric figure which will move in any direction. There are an infinite number of points that conjure a line. On all sides, it’s endless and nonstop. A line could be a one-dimensional object. Ancient mathematicians established the concept of line or line in geometry to depict straight objects with negligible breadth and depth. It’s frequently explained in terms of two points.

Different Types of Lines

In Geometry, there are various varieties of lines. Geometry is made on the inspiration of lines. Horizontal lines (sleeping lines), Vertical lines (sleeping lines), and Oblique lines are the three kinds of straight lines (Slanting lines).

1. A horizontal line could be a line that runs parallel to the x-axis. The x-axis is paralleled by a horizontal line. This line doesn’t cross the X-axis at any point.

2. A vertical line is one that’s parallel to the y-axis. It runs straight up and down, parallel to the coordinate plane’s y-axis.

3. An oblique line is the one which is neither horizontal nor vertical.

Parallel lines are defined as two lines that run parallel and are separated by the same distance but don’t meet, no matter their length. Parallel lines are those that don’t touch or intersect and maintain a relentless minimum distance between them. Parallel lines are two straight lines in a very plane that don’t meet at any point.

Intersecting lines are formed when two non-parallel lines intersect at a point. Two lines that intersect at the identical location are called intersecting lines.

A straight line’s general equation is y = mx + c, where m is the line’s slope and c is the y-intercept. In geometry, it’s the foremost common type of equation of a line. A straight line’s equation may be stated in an exceeding style of ways, including point-slope form, slope-intercept form, general form, standard form, and so on. A line may be a geometrical entity with two dimensions that continues indefinitely on both ends.

A line equation could be a mathematical equation that expresses the link between the coordinate points on a line. It is expressed in a sort of way and indicates the line’s slope, x-intercept, and y-intercept. The foremost popular variants of the line equation are y = mx + c and ax + by = c. Point-slope form, slope-intercept form, general form, and standard form are samples of other forms.

A line could be a figure constructed by connecting two points A (x₁ , y₁) and B (x₂ , y₂) with the shortest distance between them and increasing both ends to infinity.

Linear equations are written in three different ways: point-slope form, standard form, and slope-intercept form.

1. The slope of a line is denoted by m, and also the y-intercept is denoted by c. When B = 0, the classic first-degree equation Ax + By + C = 0 is expressed as a slope-intercept equation.

2. The purpose where a line crosses the x-axis or the y-axis is named the intercept. Assume that a line intersects the x- and y-axes at (a, 0) and (0, b), respectively. ON  the x-axis and also the y-axis, the equation of a line intercepts.

3. The angle formed by the perpendicular with the positive x-axis and also the equation of the line whose length of the perpendicular from the origin is p is named Normal Line.

Slope (m) of a non-vertical line passing through the points (x₁ , y₁ ) and (x₂ , y₂)

m=(y₂ – y₁)/(x₂ – x₁), x₁ ≠ x₂

Equation of a horizontal line

y = a or y = -a

Equation of a vertical line

x = b or x = -b

Equation of the line passing through the points (x₁ , y₁) and (x₂ , y₂)

y – y₁= [(y₂ – y₁)/(x₂ – x₁)]×(x – x₁)

Equation of line with slope m and intercept c

y = mx+c

Equation of line with slope m makes x-intercept d.

y = m (x – d).

Intercept sort of the equation of a line

(x/a)+(y/b)=1

The normal sort of the equation of a line

x cos α+y sin α = p

How to Find the Equation of a Straight Line that is Parallel to One of the Coordinate Axes.

To find the normal form of a straight line, consider we have two axes in a two-dimensional form that is x and y.

A straight line AB cuts the x-axis at point A. This line AB is parallel to axis y.

We can consider the distance OA = a. Let P be any point on line AB such that the coordinates of P are (x, y).

The abscissa of the point is always c.

       x = c

This is true for every point on the line AB.

It should be noted that the equation does not contain the coordinate y.

Similarly, we can find the equation of a straight line parallel to the x-axis.

      y = d

The equation of the x-axis is y = 0

The equation of y-axis is x = 0.

How to Find the Equation of a Straight that Cuts Off a Given Intercept on the Axis of Y and is Inclined at an Angle to the X-axis.

Let the intercept be c and the angle be a.

Let c be a point on the y-axis such that the distance  OC is c.

Draw a perpendicular PM to OX and a line parallel to the x-axis that is CN. See figure below

()

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Let the coordinates of P be (x, y) such that OM = x and PM = y.

MP = NP + MN

By trigonometry, we get NP = CN. tan(a)

Therefore,

We know that tan a = m ( also called the slope of the line ).

So, y = CN.tan(a) + OC

= mx + c

Therefore, 

We get the general equation of a line which is

y = mx +c

Solved Example

Example 1: Find the equation of the straight line cutting off an intercept 3 in the negative direction of the y-axis and inclined at 120° to the axis of x. 

Answer 

y = x.tan(120°) +(-3)

y + x√3 + 3 = 0.

Example 2: How to find the equation of a line that cuts off given intercepts a and b on x-axis and y-axis respectively.

Given is that OA = a and OB = b

Now join AB and extend it in both ways making it a line. Let P be any point which has coordinates (x, y) present on this straight line. 

Draw PM perpendicular to OX and touching line AB at P as shown in fig below.

By geometry we get 

OM/OA = PB/AB and MP/OB =AP/AB

Adding LHS for both of these we get

OM/OA + MP/OB =( PB + AP)/AB 

= 1

Therefore we get 

x/a + y/b =1

How to Find the Equation of a Straight Line in Terms of Perpendicular which Falls Upon it from the Origin and the Angle Which this Perpendicular Makes with the X-axis.

Step1: Let the given line be AB (for which we need to find  its equation).

Step 2: Let OR be perpendicular to AB. Its length is let’s say p.

Step 3: Let a be the angle that OR makes with OX. Let P be any point whose coordinates are x and y lying on AB. 

Step 4: Draw the ordinate PM and ML perpendicular to OR. All of these is given in the image below

OL = OM cos(a)……………….(1)

LR = NP = MP sin (NMP)

Ang NMP =90° – ang NMO = ang MOL= a

LR = MP sin(a)…………………..(2)

By adding 1 and 2 we get

OM cos a + MP sin a = OL + LR = OR = p

Therefore, xcosa + ysina = p

In all the above forms of the line, we see that they are of first degree in x and y.

We now know that any equation of first degree in x and y always represents a straight line.

A general form of this equation is :

Ax + By + C = 0

Here A, B, C are constants ie these are quantities that don’t contain x and y.

Ax + By + C = 0 it may also be written as

y = {-A/B}(x) – C/B

Comparing this above equation with y= mx + c we get

m =-A/B and c = -C/B

Therefore the equation Ax + By + C = 0 represents a straight line cutting off an intercept -C/B to the axis of y and inclined at an angleTan⁻¹(-A/B).

How to Find the Equation of a Straight Line Which Passes Through Two Given Points (-1, 3) and (4,-2)

We know that equation to any straight line is y = mx + c ;………………(1)

for first point we get

3 = -m + c, such that c = m + 3

Hence (1) becomes

y = mx + m + 3……………(2)

For the second point, we have

-2 = 4m + m +3

So solving this we get m = -1,

Hence  (2) becomes 

y = -x + 2 => x + y = 2

If two lines are parallel to each other we get their slopes to be the same.

That is m₁=m₂.

If two lines are perpendicular we get 

m₁.m₂ = -1

If two lines subtend an angle let’s say “a” between them then 

Tan(a) =(m₁ – m₂)/1 + m₁m₂

To fix the position of a straight line we must always have two quantities given. Such that one is the point and the other is a quantity that gives the direction of a line.

Conclusion

Nearly every facet of our daily lives involve lines and angles. To achieve math examinations, students must be confident in calculating angles, measuring angles, and drawing angles; nevertheless, a radical understanding of lines and angles may aid students’ comprehension of the globe.

Angles determine whether a building is safe or not within the construction sector. To create a structure that stands upright and allows rainfall to escape the roof, architects and constructors must calculate angles very precisely. Furthermore, construction workers cannot make sure that windows and doors will fit until all structures are created with straight lines.

Any equation that can be represented in the form of ax + by + c =o, where a,b, and c are real numbers and a, b are not equivalent to 0 is known as a linear equation in two variables namely x and y. The solutions for such types of equations are a pair of values, one for x and one for y which makes the two sides of the equation equal. 

There are infinitely multiple solutions for linear equations in two variables. For example, x + 2y = 6 in a linear equation and its solutions are (0,3), (6,0), (2,2) because they  satisfy the equation x + 2y = 6.

Linear Equation in Two Variables Example

Here, we will understand the linear equation in two variables through an example

Let us take the equation

5x + 3y = 30

The above equation has two variables i.e. x and y

This equation can be represented graphically through substituting the variables equals zero.

The value of x, when y equals to zero is

5x + 3(0) = 30

→ x = 6

And, the value of y when x equals to zero is

5 (0) + 3y = 30

Y = 10

()

Graphing of Linear Equation in Two Variables

As the solutions of linear equations in two variables is a pair of numbers (x,y), we can express the solutions in a coordinate plane.

Let us understand the concept by considering the equation given below:

2x + y =  6     (1)

Some of the solution of the equations given above are:

(0,6), (3,0), (1,4) ,(2,2) because they satisfy the equation 2x + y =  6 

We can Represent the Equation (1) in Tabulated Form in the Following Manner:

Now, we are plotting the above coordinates in the coordinate plane below.

We can take any two of the coordinates and join them to form a line. Let that line be PQ. It can be seen in the below figure that all the 4 coordinates are lying on the same line PQ.

Let us take any other point such as ( 4,-2) which lies on the line PQ. 

Now, we will verify whether the above point is satisfying the equation or not.

Substituting the point ( 4,-2) in equation (1) we get,

LHS = ( 2*4) -2 = 6 = RHS

Hence verified.

Therefore, the coordinate (4,-2) is solution of 2x + y =  6 

Similarly, if we will take any other points, it will also satisfy the equation 2x + y =  6 

Note:

• It can be seen that all the points lie on the line PQ provide a solution of 2x + y =  6 

• All the solution of 2x + y =  6  lies on the line PQ

• Coordinates that will not satisfy the equation of 2x + y =  6  will not lie in the line PQ.

Important points of graphing of linear equation in two variables

We can conclude the following points, for a linear equation in two variables

Hence, we can represent every linear equation in two variables in a graph as a straight line in a coordinate plane. Points on the lines are known as the solution of the equation. Due to this, an equation with one degree is known as linear equations. The expression of linear equations in a graph is known as graphing of linear equations in two variables.

Solved Examples:

1. 10 students of class 9th took part in a Science quiz. If the number of girls participated in a  quiz is 4 times more than boys, find the number of girls and boys who took part in a Science quiz.

Solution: Let the number of boys participated by y and the number of girls participated by x.

Accordingly, equation will be

x + y = 10  (1)

y = x + 4  (2)

Let us now represent the above equations 1 and 2  graphically by calculating 2 solutions for each of the equations. The two solutions of the equations are:

x + y = 10 → y = 10 – x 

x + y =  4  

Now we will plot the above points in a graph,

We will draw two lines AB and CE passing through the points to represent the equation

The two lines AB and CE will intersect at point E ( 3, 7). 

Hence, x = 3 and y = 7 is the required solution of the pair of linear equations.

So, the total number of boys participated in quiz = 3  and the total number of girls participated in the quiz = 7

Verification

Substituting the values of x =3 and y= 7 in the equation (1) , we get

L.H.S = 3 + 7= 10

LHS = RHS

Hence verified

Substituting the values of x =3 and y= 7 in the equation (2) , we get

7 = 3 + 4

LHS = RHS

Hence verified

2. Represent graphically that the following system of equation 2x + 3y = 10 and 4x + 6y = 2 has no solution.

Solution: The given equations are:

2x + 3y = 10 → y = (10 – 2x) /3

4x + 6y = 2 → y = (12 – 4x) /6

No, we are plotting the points A ( -4,6) and B (2,2) in a graph. Join these two points to form a line AB.

Also, plot the points C ( -3,4) and D ( 3,0) and join them to form a line CD

Now, you can see the lines in the graph are parallel to each other. As the line has no common points, there will be no common solution. 

Therefore, the given system of the equation has no solution

Quiz Time

1. The graph of x= -2 in a line parallel to the

1. X- axis

2. Y -axis

3. Both x and y- axis

4. None of these

2. If the lines represented by 2x + ky = 1 and 3x – 5y = 7 ae parallel, then value of k is

1. -10/3

2. 10/3

3. -13

4. -7

3.  What will be the representation of the line, if the pair of equations is consistent?

1. parallel

2. Al
   ways intersecting

3. Always consistent

4. Two solutions

Hectare (symbol ha) is the metric unit of area that equals a square with 100 m side (1 hm²) or 10,000 square meters. The term hectare is introduced in French, from the Latin area.

It is primarily used throughout the world to measure the area of a large section of land. One hectare equals 2.471 acres.

Even though there are different metric units for land measurement, the hectare is most commonly used. The International Committee for Weights and Measures has categorized hectares as a ‘non-SI unit accepted for use with the international system of units. Among the geographies, land measurement is most commonly used in Australia, Burma, Canada, the European Union, India, the US, the UK, etc.

Hectare can be converted into different metric units used to measure large areas of land. Here, we will discuss the conversion of a hectare to the acre, hectare to square meter, hectare to bigha, hectare to biswa, etc.

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Hectare to Acre

Hectare is a commonly used unit of area in the metric system and is equal to 100 ares, or 10000 square meters, and is equal to 24.71 acres in the British Imperial system and United State customary measure. The symbol used to represent hectare is ‘ha’.

An acre is the unit of land area used in the imperial and US customary system. It is defined as the area of one chain by the area of a furlong (66 by 660 feet) which is exactly equivalent to 20 square chains, or 1/640 of a square mile, or 43.560 square feet, and 4047 square meters, or about 40% of a hectare. The symbol used to represent acre is ‘ac’.

Hectare to the acre is the conversion of measurement from ha to acre value. One hectare is equal to 2.471 acres.

A hectare unit can be converted into acre value by multiplying the hectare unit by 2.471. For example, to convert 5 hectares to acres, the calculation is:

5 ha = 5 2.471 or 12.355 ac.

Therefore, 5 hectares is equal to 12.355 acres.

Acre to Hectare

Acre to hectare is the conversion of measurement from acre to hectare value. One acre is approximately equivalent to 0.404686 hectares.

An acre unit can be converted into hectare value by multiplying the acre unit by 0.404686. For example, to convert 5 acres to the hectare, the calculation is

5 ac = 5 × 0.404686 or 2.02343 ha

Therefore, 5 acres is equal to 2.02343 hectares.

Hectare to Bigha

A hectare can be defined as the unit of area in the metric system equal to 100 acres of 10,000 square meters whereas bigha is a term used for agricultural land measurements in many Indian states like Assam and Uttar Pradesh.

Hectare is considered to be extremely valuable as it helps us understand agricultural output and crop production appropriately. But it is important to understand how to convert hectares into bigha as farmers widely use bigha units. The value of Bigha differs from one state to another state. But generally, 1 bigha falls in the range of 1/3 to 1 acre or approximately equal to almost 1/8 to (2/5)^th hectare.

Hectare to bigha is the conversion of measurement from ha to bigha value. In a state like Uttar Pradesh, the value of 1 hectare is equal to 6.1772 bighas.

A hectare unit can be converted into bigha value by multiplying the hectare unit by 6.1772. For example, to convert 5 hectares to bigha, the calculation is

5 ha = 5 × 6.1772 or 30.886 Bigha

Therefore, 5 hectares is equal to 30.886 bighas in UP.

Hectare to Square Feet

Hectare and square feet is a unit of area used in the Imperial and US customary system to measure an area of land. One hectare is equal to 107,639 sq ft.

Hectare to square feet is the conversion of measurement from ha to sq ft.

A hectare unit can be converted into sq ft by multiplying the hectare unit with 107,639.

For example, to convert 5 hectares to sq ft, the calculation is

5 ha = 5 × 107,639 or 538196 sq ft

Therefore, 5 hectares is equal to 538196 Bigha in UP.

Cent to Hectare

A cent is a customary unit of measure used in some parts of Southern Indian states such as Andhra Pradesh, Telangana, Karnataka, and Tamil Naidu despite the general use of metric units for other instances.

1 cent is defined as an area of 1/100 of an acre (40.5 m²; 435.6 sq ft).

Cent to hectare is the conversion of measurement from a cent to hectare.

A cent can be converted into hectares by multiplying the cent unit by 0.0040468564224.

For example, to convert 5 cents to ha, the calculation is

5 cent = 5 × 0.0040468564224 or 0.02023 ha

Therefore, 5 cents is equal to 0.02023 ha.

Meters to Hectare

Meters or square meter is the SI derived unit of area. It is widely used while purchasing or selling large plots of land. The symbol used to represent square meters is m². One square meter is 0.0001 hectares.

Meters to hectare is the conversion of measurement from m² to ha.

A square meter (meter) can be converted into hectares by multiplying the square meter value by 0.0001 or divide by 10000.

For example, to convert 5 square metres to ha, the calculation is

5 square metre = 5 × 0.0001 or 0.0005 ha

Therefore, 5 m² is equal to 0.0005 ha.

Kanal to Hectare

A Kanal is the traditional unit of land area used in northern parts of India and Pakistan. In India, Kanal is equivalent to 4500 square feet or one-eighth of an acre. In Pakistan, different values of Kanal exist in different areas. A Kanal is generally considered equivalent to 5400 square feet in Pakistan, but it is equal to 4500 square feet in Lahore.

To convert Kanal to the hectare, one needs to remember that 1 Kanal is equal to 0.0505857 hectares.

The unit Kanal can be converted into hectares by multiplying the Kanal value by 0.0505857.

For example, to convert 5 kanals to ha, the calculation is

5 kanal = 5 × 0.0505857 or 0.252929 ha

Therefore, 5 kanals is equal to 0.252929 ha.

Hectare to Biswa

A biswa is the unit of measurement of the area of land used in northern states of India such as UP, Haryana, Uttarakhand, and Himachal along with bigha to represent the shorter land of units.

Hectare to Biswa is the conversion of measurement from hectare to Biswa. To convert ha to biswa, one needs to remember that 1 hectare is equal to 79.07372209 biswa (
in UP).

A hectare unit can be converted into biswa by multiplying the hectare value by 79.07372209.

For example, the calculation to convert 5 hectares to biswa is

5 hectare = 5 × 79.07372209 or 398.66334876703 biswa

Therefore, 5 hectares is equal to 398.66 biswa in UP.

Fun Facts

• The renowned island in Italy (Venice) has 41,400 hectares of land.

• In London, the O₂ Arena covers 10.4 hectares of ground.

• In Scotland, Loch Ness is 5600 hectares in surface area.

• According to the 2019 survey, around 0.9 billion hectares are suitable for reforestation.

Solved Example

1. Convert 230 hectares to square meters.

Solution:

As we know,

1 hectare = 107,639 square feet

To convert 230 hectares into square feet, we will multiply 230 by 107,639.

The calculation is

230 hectares = 230 × 107,639 = 24,76,870 sq feet.

Hence, 230 ha is equal to 24,76,870 sq feet.

2. Convert 20 hectares to acres.

Solution:

As we know,

1 hectare = 2.471054 acres

To convert 20 hectares into acres we will multiply 20 by 2.471054.

The calculation is

20 hectares = 20 × 2.471054 = 49.42108 acres.

Hence, 230 hectares is equal to 59.42108 acres.