Question

the area of a circle is 9π square inches. what is the radius? give the exact answer in simplest form.

Explanation:

Step1: Recall area formula

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

Step2: Substitute given area

We are given that $A = 9\pi$. Substituting into the formula gives $9\pi=\pi r^{2}$.

Step3: Solve for $r$

Divide both sides of the equation $9\pi=\pi r^{2}$ by $\pi$:

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Taking the square - root of both sides, since $r>0$ (radius is a non - negative quantity), we have $r = 3$.

Answer:

3