Circle Formula with Solved Examples

Circle formula

Everything you need to know about the Circle formula is provided below. Please proceed to read the whole document carefully to understand the topic completely.

A circle is a specific form that may be described as the collection of points on a plane that is situated at equal distances from a single point that is referred to as the circle’s centre. When calculating the area, diameter, and circumference of a circle, we turn to the circle formula for assistance. The term “radius” refers to the distance that must be travelled in order to reach the circle’s centre from any point on the circumference of the circle. The term “diameter of the circle” refers to any line that both cuts through the centre of the circle and links two different places on the circumference of the circle. The diameter of a circle is twice the size of its corresponding radius. The term “area” refers to the whole quantity of space that is included by the circle, while “circumference” refers to the total distance that the circle’s edge extends.

r is the radius of the circle

c is the circumference of the circle and,

d is the diameter.

Formula of circles are-

Diameter= d=2 x r

circumference= c= 2 x π x r

Area=A= π x r2

Solved Examples

Q. A circle has a radius of 8cm, find its diameter, circumference, and area?

r= 8cm

So Diameter=d=2 x r 

d= 2×8

d=16cm

Circumference is  c= 2 x π x r

c= 2 x (22/7) x 8

c=50.272 cm.

The area of the circle is,

A= π x r2

= (22/7) x 8 x8

=201.088 cm2.