The area of a circle is \( 16 \pi \) square inches. What is the radius? Give the exact answer in simplest form.

To find the radius of a circle given its area, we can use the formula for the area of a circle, which is \( A = \pi r^2 \), where \( r \) is the radius. Given that the area \( A = 16 \pi \), we can set up the equation: \[ \pi r^2 = 16 \pi \] Now, we can divide both sides by \( \pi \) (assuming \( \pi \neq 0 \)): \[ r^2 = 16 \] Next, we take the square root of both sides to find the radius: \[ r = \sqrt{16} = 4 \] Thus, the radius of the circle is \( 4 \) inches.