A square is inscribed in a circle. If the area of the circle is 16π square units, what is the area of the square?

✓ Correct Answer: Option C

Area of circle = πr^2 = 16π, so r^2 = 16, and radius r = 4. The diameter of the circle is 2r = 8. This diameter is the diagonal of the inscribed square. Using the Pythagorean theorem (s^2 + s^2 = d^2), 2s^2 = 8^2 = 64. Thus, s^2 = 32, which is the area of the square.