🧠 GRE Exam Prep

A square has a perimeter of 24 units. If a circle is inscribed within this square, what is the area of the circle?

A 9π square units
B 16π square units
C 36π square units
D 48π square units

✓ Correct Answer: Option A

The perimeter of the square is 24, so its side length is 24/4 = 6 units. For a circle inscribed in a square, the diameter of the circle equals the side length of the square. So, diameter = 6, radius r = 3. Area of circle = πr² = π(3)² = 9π.

Related GRE Exam Prep Questions