If the area of a square is 64 cm², what is the area of the circle inscribed in it?

Correct answer: 50.27 cm². Side = 8 cm, so the inscribed circle has diameter 8 and radius 4. Area = π × 4² ≈ 50.27 cm².

Background: A circle inscribed in a square touches all four sides.

• 54.24 cm²: 54.24 cm² is too large for radius 4.
• 44.24 cm²: 44.24 cm² is too small for radius 4.
• 24.27 cm²: 24.27 cm² is too small for radius 4.

Did you know? Its diameter equals the side of the square.

Memory trick: Diameter = side of square.