#### Answer

radius = 4.23 in
diameter = 8.470 in

#### Work Step by Step

Given the area of the circle = 56.35 $in^{2}$
to find the approximate lengths of the radius and the diameter of a circle
The area A of a circle whose radius has length r is given by
A = $\pi r^{2}$
56.35 = $\pi r^{2}$
$r^{2}$ = $\frac{56.35}{3.14}$
r = $\sqrt 17.94$ = 4.23 in
The radius of the circle r = 4.23 in
The diameter of the circle = 2 * r = 2 * 4.23 = 8.470 in