Answer:
8.555 in.
Step-by-step explanation:
So the area of the square is x^2.
This makes that the area of the circle is x^2 - 20 pie.
The radius of the circle is half of the diameter, so it is 0,5x.
The formula for the circle area is:
Area = pie * r^2.
x^2 - 20 pie = pie * (0,5x)^2
x^2 - 20 pie = pie * 0,25x^2
x^2 - pie * 0,25x^2 = 20 pie
x^2 * (1 - 0,25 pie) = 20 pie
x^2 = 20pie / (1 - 0,25 pie)
x = square root (20pie / (1 - 0,25 pie)) = 17.11
So the radius is 0,5 * 17.11 = 8.555 in.
