# Circumference Formula

The circumference of a closed curve or circular object is the linear distance around its edge. The circumference of a circle is a special importance in geometry and trigonometry.

The Circumference Formula requires either the radius or the diameter of the circle for its calculation.

\[\LARGE Circumference\;of\;a\;Circle(C)=2\pi r=\pi d\]

Where,

C is the circumference of the circle.

d is the diameter of the circle.

r is the radius of the circle.

### Solved Examples

**The radius of a circle is 2 inches. What is the circumference of the circle?**

**Question 1:**

**Solution:**

Given,

Radius of the circle = r = 2 inCircumference of the circle

= 2πr

= 2 $\times$ π $\times$ 2 in

= 12.56 in

Radius of the circle = r = 2 inCircumference of the circle

= 2πr

= 2 $\times$ π $\times$ 2 in

= 12.56 in