The circumference of a circle is 5π cm. What is the area of the circle?

Solution:

Given: Circumference of the circle is 5π cm

We know that circumference of a circle is 2πr

⇒ 2πr = 5π

⇒ 2r = 5

⇒ r = 5/2

⇒ r = 2.5cm

The area of a circle with radius r is πr²

= π(2.5)²

Therefore, the area of the circle is 6.25πcm²

The circumference of a circle is 5π cm. What is the area of the circle?

Summary:

If the circumference of a circle is 5π cm, then the area of the circle is 6.25πcm².