Question

If the circumference of a circle measures
3
4
π cm, what is the area of the circle in terms of π?

Answer 1

Therefore the area of the circle is =$289\pi$ $cm^2$

Step-by-step explanation:

Given that the circumference of a circle measures $34 \pi$ cm

Let the radius of the circle be = r

Then circumference =$2 \pi r$ cm

According to problem

$2 \pi r$ = $34 \pi$

⇔$r = \frac {34}{2}$

⇔$r = 17$ cm

Therefore the area of the circle is = $\pi r^2$

                                                    =$\pi 17^2$ $cm^2$

                                                    =$289\pi$  $cm^2$