# How do you find the radius of a circle with an area of 90 cm 2?

Apr 6, 2018

See below for approach...

#### Explanation:

The area of a circle is $\pi {r}^{2}$

$\implies \pi {r}^{2} = 90$

$\implies {r}^{2} = \frac{90}{\pi}$

$\implies \sqrt{{r}^{2}} = \sqrt{\frac{90}{\pi}}$

$\implies r = \sqrt{\frac{90}{\pi}} c m$

$\implies r \approx 5.3524 c m$