The area of a circle is \( 16 \pi \) in \( ^{2} \). What is the circumference, in inches? Express your answer in terms of \( \pi \).
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To find the circumference of the circle, we start with the area formula for a circle, \( A = \pi r^2 \). Given that the area is \( 16\pi \), we can set up the equation: \[ \pi r^2 = 16\pi \] Dividing both sides by \( \pi \), we get: \[ r^2 = 16 \] Taking the square root of both sides, we find: \[ r = 4 \] Now, we can calculate the circumference using the formula \( C = 2\pi r \): \[ C = 2\pi(4) = 8\pi \] Thus, the circumference of the circle is \( 8\pi \) inches.