Introduction
Mensuration is the branch of mathematics that deals with the measurement of geometric shapes, such as perimeter, area, and volume.
Key Concepts
Perimeter of a Rectangle
The perimeter of a rectangle is the distance around it. It can be calculated using the formula:
Perimeter = 2 × (Length + Breadth)
Area of a Rectangle
The area of a rectangle is the amount of space inside it. It can be calculated using the formula:
Area = Length × Breadth
Perimeter of a Square
The perimeter of a square is the distance around it. It can be calculated using the formula:
Perimeter = 4 × Side
Area of a Square
The area of a square is the amount of space inside it. It can be calculated using the formula:
Area = Side × Side
Perimeter and Area of a Triangle
The perimeter of a triangle is the distance around it. The area of a triangle can be calculated using the formula:
Area = (Base × Height) / 2
Perimeter and Area of a Circle
The perimeter of a circle is called its circumference. The area of a circle can be calculated using the formula:
Circumference = 2Ï€r
Area = πr^2
Surface Area and Volume of 3D Shapes
The surface area of a 3D shape is the total area of its surface. The volume of a 3D shape is the amount of space inside it.
Formulae
- Perimeter of a rectangle: 2 × (Length + Breadth)
- Area of a rectangle: Length × Breadth
- Perimeter of a square: 4 × Side
- Area of a square: Side × Side
- Area of a triangle: (Base × Height) / 2
- Circumference of a circle: 2Ï€r
- Area of a circle: πr^2
Important Points
- The perimeter of a shape is the distance around it.
- The area of a shape is the amount of space inside it.
- The surface area of a 3D shape is the total area of its surface.
- The volume of a 3D shape is the amount of space inside it.
Practice Questions
(A) Worksheet: https://t.me/cgscbsesupportbypramodsir/6
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