## Define area and perimeter of circle

**Area of a Circle:** The area of a circle is the measure of the region enclosed by the circle. It represents the total amount of space inside the circle.

Formula for the Area of a Circle: The formula for the area of a circle is:

Area = πr^2

where “r” represents the radius of the circle, and π is a mathematical constant approximately equal to 3.14159.

**Example 1**: Let’s say we have a circle with a radius of 6 centimeters. To find its area, we can use the formula:

Area = 3.14159 * (6)^2

Calculating further, we have:

**Area ≈** 113.0976 square centimeters

So, the area of a circle with a radius of 6 centimeters is approximately 113.0976 square centimeters.

**Example 2: **Consider a circle with a radius of 3 meters. To calculate its area, we use the formula:

**Area =** 3.14159 * (3)^2

Calculating further, we have:

Area ≈ 28.27431 square meters

Therefore, the area of a circle with a radius of 3 meters is approximately 28.27431 square meters.

**Perimeter of a Circle: **The perimeter of a circle is the total length of the boundary or the distance around the circle.

Formula for the Perimeter of a Circle: The formula for the perimeter of a circle is:

Perimeter = 2πr

where “r” represents the radius of the circle, and π is a mathematical constant approximately equal to 3.14159.

**Example 1: **Consider a circle with a radius of 4 centimeters. To find its perimeter, we can use the formula:

Perimeter = 2 * 3.14159 * 4

Calculating further, we have:

* Perimeter ≈* 25.13272 centimeters

So, the perimeter of a circle with a radius of 4 centimeters is approximately 25.13272 centimeters.

Example 2: Let’s say we have a circle with a radius of 5 meters. Using the formula, we can find its perimeter:

Perimeter = 2 * 3.14159 * 5

Calculating further, we have:

**Perimeter ≈ **31.4159 meters

Hence, the perimeter of a circle with a radius of 5 meters is approximately 31.4159 meters.