Question

Find the exact area of a circle having the given circumference.

Answer 1

Answer:

A = 2.25π

Step-by-step explanation:

The formula of an area of a circle:

$A=\pi r^2$

r - radius

The formula of a circumference of a circle:

$C=2\pi r$

We have:

$C=3\pi$

Substitute:

$2\pi r=3\pi$            divide both sides by 2π

$r=1.5$

Substitute:

$A=\pi(1.5)^2=2.25\pi$