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