We all know that a circle is a geometrical shape which is a closed figure; a two-dimensional curved shape where every point from the center of the circle is equidistant. The circumference of a circle is also known as the perimeter of the circle. We can define it as a measurement used to measure the bounding line of the circle. The circumference can be defined as the length of the circle when opened widely. Mathematically, the formula given for the circumference of the circle is, 2 *π*r where ‘r’ is the radius of the circle. In this article, we may further discuss the circumference of a circle and try to solve as many questions as possible, in order to understand the topic in a detailed manner.

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## Area Of Circle And Calculations Based on It

As mentioned above, the measurement of the length of the circle is known as the circumference of the circle. If we talk about the area of a circle, it is the pace or region which is enclosed by the boundaries of the circle. Mathematically, the area of a circle is given by; *πr*.*πr *where r is the radius of the circle, and the value of pi is generally given by 3.14 or 22/7. Let us solve some calculations based on the area of the circle in order to understand this topic in a better way.

Example 1:

Find the area of the circle if the radius given is 10 cm and the value of pi to be used as 3.14?

Provided that,

Radius of the Circle = 10 cm

Value of *π *given is = 3.14

Using the formula of the area of circle; *πr*.*πr*;

3.14 * 10.10 = 314 cm square.

Thus, the area of the circle = 314 cm square.

Example 2:

Find the area of the circle if the radius given is 12 cm and the value of pi to be used as 3.14?

Provided that,

Radius of the Circle = 12 cm

Value of *π *given is = 3.14

Using the formula of the area of circle; *πr*.*πr*;

3.14 * 12.12 = 452.16 cm square.

Thus, the area of the circle = 452.16 cm square.

## Calculations Based on the Perimeter/Circumference of The Circle

The formula given for the circumference/perimeter of the circle is 2 *π*r, where ‘r’ is the radius of the circle. In the next paragraph, we will try to solve some calculations based on the circumference of the circle. Some of the examples are as follows:

Example 1:

Calculate the perimeter of the circle if the value given for the radius is 5 cm and the value of *π *to be used 3.14?

Given that,

Radius of The Circle = 5 cm

Value of *π *give is = 3.14

Using the formula of the perimeter of the circle; 2 *π*r,

2 * 3.14 * 5 = 31.4 cm.

Example 2:

Calculate the perimeter of the circle if the value given for the radius is 8 cm and the value of *π *to be used 3.14?

Given that,

Radius of The Circle = 8 cm

Value of *π *give is = 3.14

Using the formula of the perimeter of the circle; 2 *π*r,

2 * 3.14 * 8 = 50.24 cm.

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