Question

the area of a circle is 4π square miles. what is the radius? a = 4π mi² give the exact answer in simplest form. miles

Explanation:

Step1: Recall area formula

The area formula of a circle is $A = \pi r^{2}$, where $A$ is the area and $r$ is the radius.

Step2: Substitute given area

We know $A = 4\pi$, so $4\pi=\pi r^{2}$.

Step3: Solve for $r$

Divide both sides of the equation $4\pi=\pi r^{2}$ by $\pi$:
$4 = r^{2}$. Then take the square - root of both sides. Since $r>0$ (radius is non - negative), $r = 2$.

Answer:

2