Answer:
2√(5/π) ≈ 2.523
Explanation:
The radius can be found using the area formula:
A = πr²
20 = πr² . . . . . fill in the given value
20/π = r² . . . . . divide by π
√(20/π) = r = 2√(5/π) . . . take the square root and simplify
You can use your calculator to find a numerical value for this:
r = 2√(5/π) ≈ 2.52313
_____
Comment on the form of the answer
Radicals are often considered to be in simplest form when they do not contain fractions or square factors. Here, the "simpler" form would be ...
r = (2/π)√(5π)
involving the irrational number π in two calculations. My preference for evaluating the expression for r is to leave it as √(20/π) or 2√(5/π).