#### Answer

radius = 5 in
diameter = 10 in

#### Work Step by Step

The area of the circle = 25$\pi in^{2}$
The area A of a circle whose radius has length r is given by
A = $\pi r^{2}$cm
25$\pi$ = $\pi r^{2}$
25 = $r^{2}$
r = 5 in
Therefore diameter of the circle = 2r = 2* 5 = 10 in