Question

the equation for the area of a circle, a, is a = πr² where r is the radius. which equation represents the radius in terms of the area? r = 2aπ r = a/2π r = √(a/π) r = √(aπ)

Explanation:

Step1: Start with area formula

The area formula of a circle is $A = \pi r^{2}$.

Step2: Solve for r

Divide both sides by $\pi$: $\frac{A}{\pi}=r^{2}$. Then take the square - root of both sides: $r = \sqrt{\frac{A}{\pi}}$.

Answer:

$r = \sqrt{\frac{A}{\pi}}$