The circumference of a circle is 3π in. What is the area of the circle?

Solution:

Given the circumference of a circle = 3π in

We know that if ‘r’ is the radius of the circle the circumference can be given as 2πr

Equate both the circumference, we get 3π = 2πr

Now solving for r, we get radius r= 3/2

We know the area of the circle, given r = πr² sq.in

Substitute r=3/2 and we get π(3/2)²

Area of given circle= 9π/4 sq.in

The circumference of a circle is 3π in. What is the area of the circle?

Summary:

If the circumference of a circle is 3π in, then the area of the circle is 9π/4 sq.in