A square of side length 4 cm is inscribed in a circle. What is the area of the region inside the circle but outside the square?

✓ Correct Answer: Option A

The diagonal of the inscribed square is the diameter of the circle. For a square with side 4 cm, the diagonal is 4√2 cm. So, the circle's radius is (4√2)/2 = 2√2 cm. Area of circle = π(2√2)² = 8π cm². Area of square = 4² = 16 cm². Shaded area = 8π - 16 cm².