Mensuration
In this section we will discuss about mensuration.Mensuration is the branch of mathematics which deals with the study of different geometrical shapes,their areas and Volume.In the broadest sense, it is all about the process of measurement. It is based on the use of algebraic equations and geometric calculations to provide measurement data regarding the width, depth and volume of a given object or group of objects. While the measurement results obtained by the use of mensuration are estimates rather than actual physical measurements, the calculations are usually considered very accurate.
There are two types of geometric shapes 1) 2D and 2) 3D
2D shapes are 1) Square 2) Rectangle 3) Parallelogram 4) Rhombus
5) Triangle 6) Trapezoid 7) Circle
3D shapes : They have surface area and volume. 1) Cube 2) Rectangular Prism (Cuboid) 3) Cylinder 4) Cone 5) Sphere and Hemisphere 6) Prism
7) Pyramid.
Some important formulas of 2D shapes
| Name of Shape | Shape | Formula |
| Square | 
|
Perimeter = 4 x s Area = s x s |
| Rectangle | 
|
Perimeter = 2l + 2w Area = l x w |
| Parallelogram | 
|
Perimeter = 2l + 2b Area = base x height |
| Rhombus | 
|
Perimeter 4 x a Area = (d1 x d2)/2 |
| Triangle | 
|
Perimeter = a + b + c Area = (b x h)/2 |
| Equilateral Triangle | 
|
Perimeter = 3 x a Area = (√3 a 2 ) / 4 |
| Trapezoid | 
|
Perimeter = sum of all sides Area = (a + b) x h / 2 |
| Circle | 
|
Circumference = 2 x π x r Area = π x r 2 |
| Semicircle | 
|
Circumference = π x r x D Area = (π r 2 )/2 |
Note: The perimeter of any shape is measured in cm,m, miles or km.
The area of any shape is measured in sq.cm,sq.m,sq.km or sq.miles .
Mensuration : Area and Perimeter
• Perimeter and Area of Irregular Shape
• Area and Perimeter of the Rectangle
• Area of Square (perimeter of square)
• Perimeter of Parallelogram(Area of Parallelogram)
• Area of Rhombus(Perimeter of rhombus)
• Area of Trapezoid (Trapezium)
• Perimeter and Area of Triangle
• Area of Circle
• Herons Formula
Surface Area :
• Surface Area of Cube
• Surface Area of Rectangular Prism(Cuboid)
• Surface Area of Cylinder
• Surface Area of Cone
• Surface Area of Sphere and Hemisphere
• Surface Area of Prism
• Surface Area of Pyramid
Volume :
• Volume Formulas
• Volume of Irregular Shape
• Volume of Cube
• Volume of Rectangular Prism(Cuboid)
• Volume of Cylinder
• Volume of Cone
• Volume of Sphere
• Volume of Hemisphere
• Volume of Prism
• Volume of Pyramid
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