# How do you find the radius of a circle given its area of a circle is 616cm^2?

Mar 21, 2017

$r = 14 c m$

#### Explanation:

Area of a circle$= \pi {r}^{2}$

$\therefore \pi {r}^{2} = 616 c {m}^{2}$ given

$\therefore {r}^{2} = \frac{616}{\pi}$

$\therefore {r}^{2} = \frac{616}{3.141592654}$

$\therefore {r}^{2} = 196.0788899$

$\therefore r = \sqrt{196.0788899}$

$\therefore r = 14.00281721 c m$

$\therefore r = 14 c m$ to the nearest cm