MENSURATION

Mensuration is one of the branches of mathematics.This means measurement.It is is being done in our life in many situations.

For example,

A Length of cloth we need for stitching,the area of a wall which is being painted, perimeter of the circular garden to be fenced, quantity of water needed to fill the tank.For these kind of activities, we are doing measurements for further needs.

Here, we are going to cover three concepts.

1.Perimeter

2.Area

3.Volume

Apart from the examples and practice questions in the above three areas, we also give calculators in this topic which can be used by the students to check their answers which they have found for the questions they have.You can use any of the given calculators to get answer for your questions in seconds.

Mensuration Calculators

1. Rectangle Area Calculator

2. Acreage Calculator

3. Circle Calculator

4. Sphere Calculator

5. Hemisphere Calculator

6. Cone Calculator

7. Cylinder Calculator

8. Rectangle Calculator

9. Kite Area Calculator

10. Cube Volume Calculator

11. Cube Area Calculator

12. Pyramid Calculator

13. Square Calculator

14. Barrel Volume Calculator

15. Pipe Volume Calculator

16. Rhombus Area Calculator

17. Cuboid Calculator

18. Heron's Triangle Area Calculator

19. Trapezium Area Calculator

20. Regular Polygon Area Calculator

21. Polygon Angle Calculator

22. Circle Sector Area Calculator

Please click the below link to get calculators in other areas of math.

Math Calculators

Please click the below link to get printable math worksheets

Printable Math Worksheets

Founder of Mensuration:

Archimedes is remembered as the greatest mathematician of ancient area.He is one of the most famous Greek mathematicians contributed significantly in geometry regarding the area of plane figures and areas as well as volumes of curved surfaces.

For example, in his development of integration and calculus, he tried to find a value for π by using circumscribed and inscribed polygons, eventually using 96 sided polygons inside and outside a circle to generate a value for Pi of between 31⁄7 (approximately 3.1429) and 310⁄71 (approximately 3.1408). This range of values is extremely accurate, as the actual value is 3.1416. This is just one example of his inventions.

In this topic we are going study about perimeter, area and volume of different shapes like a cylinder,cone,sphere,hemisphere etc..These shapes are called geometric shapes.

Apart from our aim towards the exam, like preparing for exams,aiming to score more marks in exams, we need the formulas and concepts of this topic to solve some problems in our day to day life also.

A painter charges $5 per square meter to paint a wall.Mr.Joseph has wall whose  length is 5m and width is 4m.How much does Mr.Joseph have to pay to paint the wall?

This is a problem we usually face in our day to day life.  

To find a solution to this problem, we need to determine the area of the wall.After determining the area of the wall, we can easily find the total money required to paint the wall.To find the area of the wall, we need a formula.That we get from this topic.

Let us look at another example.

We have cylindrical tank whose radius and height is 1 meter and 3 meters respectively.Find the volume of water required to fill up the tank.

To solve the above problem we need the formula to find the volume of the cylinder. To solve these  type of problems in our  life, we require the concepts of volume.For different shapes we have different formulas.

You can  click the following links to know  about the given sub topics of mensuration

	Area of rectangle Perimeter of rectangle Click the button below to get the formula instantly
	Area of rectangle = L x W Here "L" represents length of the rectangle and "W" represents width of the rectangle Area of rectangle
	Perimeter of rectangle = 2 (L + W) Here "L" represents length of the rectangle and "W" represents width of the rectangle Formula for perimeter of rectangle

	Area of square Perimeter of square Click the button below to get the formula instantly
	Area of square = a x a Here "a" represents side length of the square. Formula for area of square
	Perimeter of square = 4 a Here "a" represents side length of the square. Formula for perimeter of square

	Area of parallelogram Perimeter of parallelogram
	Area of parallelogram = b x h Here "b" represents base length and "h" represents height. Formula for area of parallelogram
	Area of parallelogram = 2 (L + W) Here "L" represents length and "W" represents width of the parallelogram. Formula for perimeter of parallelogram

	Area of rhombus Perimeter of rhombus
	Area of Rhombus = (1/2) x (d₁ x d₂) Here "d1" and "d2" are representing length of both diagonals of the rhombus. Formula for area of rhombus
	Perimeter of Rhombus = 2 √d₁² + d₂² (or) 4 a By using either of these formulas we can find the perimeter of the rhombus. Here "d1" and "d2" are representing length of both diagonals of the rhombus and "a" represents side length of the rhombus. Area of rhombus

	Area of quadrilateral Formulas for shapes path ways Area of combined figures
	area of quadrilateral = (1/2) x d x (h₁ + h₂) Here "d" represents length of diagonal. "h1" and "h2" are representing perpendicular length of the quadrilateral. Formula for area of quadrilateral

Area of triangle area of triangle = (1/2) x b x h Here "b" represents the base length and "h" represents height of the triangle. Formula for area of triangle

	Area of scalene triangle Perimeter of scalene triangle
	area of scalene triangle = √s(s-a)(s-b)(s-c) Here "s" represents the sum of the sides of the triangle/2. The side length of the triangle mentioned as a,b and c. Formula for area of scalene triangle
	Perimeter of scalene triangle s = (a + b + c)/2 Here the side length of the triangle mentioned as a,b and c. Formula for perimeter of scalene triangle

	Area of equilateral triangle
	area equilateral triangle = (√3/4) a² Here "a" represents the side length of the triangle. Formula for equilateral triangle
	perimeter of area equilateral triangle P = a + b + c Here "a","c" and "c" are representing the side length of the triangle. Formula for perimeter of equilateral triangle

	Area of sector Area of sector worksheet Perimeter of sector Perimeter of sector worksheet Length of arc Length of arc worksheets
	area of sector = (θ/360) x Π r ² square units         = (1/2) x l r square units Here "θ", "r" and "l" are representing angle formed by two radii, radius of the sector and length of arc respectively. Formula for area of sector
	Perimeter of sector = L + 2 r Here "L" represents length of arc and "r" represents radius of the sector. Formula for Perimeter of sector

	Area of circle Circumference of circle Area around circle
	Area of circle = Π r² Here "r" represents radius of the circle. Formula for area of circle
	Circumference of circle = 2 Π r Here "r" represents radius of the circle. Formula for circumference of circle

	Area of semicircle
	Area of Semicircle = (1/2) Π r² Here "r" represents radius of the semicircle. Formula for area of semicircle
	Perimeter of semicircle = Πr Here "r" represents radius of the semicircle. Formula for perimeter of semicircle

	Area of quadrant
	Area of quad-rant = (1/4) Π r² Here "r" represents radius of the quadrant. Formula for area of quadrant

	Cylinder Curved surface area Curved surface area examples Total surface area Total surface area examples Volume Problems on volume
	curved surface area of cylinder = 2 Π r h< Here "r" and "h" are representing radius and height of the cylinder. Formula for curved surface area of cylinder
	total surface area of cylinder = 2 Π r (h + r) Here "r" and "h" are representing radius and height of the cylinder. Formula for total surface area of cylinder
	Volume of cylinder = Π r2h Here "r" and "h" are representing radius and height of the cylinder. Formula for volume of cylinder

	Cone Curved surface area Curved surface area examples Total surface area Total surface area examples Volume Problems on volume
	Curved surface area of cone = Π r L Here "r" and "L" are representing radius and slant height of the cone. Formula for curved surface area of cone
	Total surface area of cone = Π r (L + r) Here "r" and "L" are representing radius and slant height of the cone. Formula for curved surface area of cone
	Volume of cone = (1/3)Π r2 h Here "r" and "h" are representing radius and height of the cone. Formula for curved surface area of cone

	Sphere Curved surface area worksheet Curved surface area worksheet1 Volume worksheet 1 Volume worksheet 2
	Curved surface area of sphere = 4Π r2 Here "r" represents radius of the sphere. Formula for curved surface area of sphere
	Volume of sphere = (4/3)Π r3 Here "r" represents radius of the sphere. Formula for volume of sphere

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Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

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