Question

The circumference of a circle is 9π m. What is the area of the circle? ASAP!

​ 4.5π ​ m²

​ 18π ​ m²

​ 20.25π ​ m²

​ 81π ​ m²

Answer 1

20.25 m²

Explanation:

the area (A) and circumference (C) of a circle are calculated using the formulae

C = 2πr and A = πr² ( where r is the radius )

calculate the radius using the formula for circumference

2πr = 9π ( divide both sides by 2π )

r =
`(9\pi )/(2\pi )` =
`(9)/(2)` = 4.5, hence

A = π × 4.5² = 20.25π m²