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

Area Presentation

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