Question

Work with a partner. Find the radius of circle.

Answer 1

Given that, $A=36\pi i{n}^2$

Use the formula for the area of a circle.

$A=\pi r^2$ (Write the formula)

$\Rightarrow 36\pi =\pi r^2$ (Substitute $36\mathrm{\pi }$ for A)

$\Rightarrow 36=r^2$ (Divide each side by $\mathrm{\pi }$)

$\Rightarrow \sqrt{36}=r$ (Take the positive square root of each side)

$\Rightarrow r=6$ (simplify)

Hence, the radius of the given circle is $6in.$