What is the exact area of a circle with the circumference of 18 pi centimeters

Given:

Circumference = 18 cm

pi = 3.14

Circumference of a circle = 2πr

Area of a circle = πr²

We need to get the radius of the circle from the circumference formula to get the area of the circle.

18 cm = 2 * 3.14 * r

18 cm = 6.28 * r

18 cm / 6.28 = r

2.87 cm = r

Area of a circle = 3.14 * (2.87cm) ²

= 3.14 * 8.24 cm²

Area of a circle = 25.87 cm²

Area=pi times r^2

circunference=2pi times r

circunference=18pi

18pi=2pi times r

divide both sides by 2

9pi=pi times r

divide both sides by pi

9=r

subsitute

area=pi times r^2

area=pi times 9^2

area=pi times 81

area=81pi

answer is area=81pi cm^2