Perimeter and Area

Understanding Perimeter and Area

1. Perimeter of a Rectangle

Perimeter of a Rectangle

The perimeter of a rectangle is the sum of all its sides. The formula is:

P = 2 * (Length + Width)

Example: For a rectangle with a length of 5 units and a width of 3 units:

P = 2 * (5 + 3) = 2 * 8 = 16 units

2. Area of a Rectangle

Area of a Rectangle

The area of a rectangle is calculated by multiplying its length by its width. The formula is:

A = Length * Width

Example: For the same rectangle with a length of 5 units and a width of 3 units:

A = 5 * 3 = 15 square units

3. Perimeter of a Circle

Perimeter (Circumference) of a Circle

The perimeter (or circumference) of a circle is calculated using the formula:

C = 2 * π * Radius

Example: For a circle with a radius of 4 units:

C = 2 * π * 4 ≈ 25.12 units

4. Area of a Circle

Area of a Circle

The area of a circle is calculated using the formula:

A = π * Radius²

Example: For the same circle with a radius of 4 units:

A = π * 4² ≈ 50.24 square units

Example: Perimeter and Area of a Square

Example: For a square with a side length of 6 units:

Perimeter:

P = 4 * side = 4 * 6 = 24 units

Area:

A = side² = 6² = 36 square units

Try Solving It Yourself:

Now, try calculating the perimeter and area for the following shapes:

Rectangle: Length = 8 units, Width = 5 units
Circle: Radius = 7 units
Click here for the solutions