Question

The area of the largest circle that can be drawn inside a rectangle with sides 16 cm by 12 cm is .

• A. 100 cm²
• B. 112 cm²
• C. 113 cm²
• D. 150 cm²

Hint:

The circle's diameter equals the shorter side of the rectangle.

Answer 1

The Correct Option is C

A circle drawn inside a rectangle is limited by the smaller dimension, since the circle must touch both long sides without crossing them, so its diameter cannot exceed the 12 cm width. Taking the diameter as 12 cm gives radius 6 cm. Using $\pi \approx 3.1416$, area $= 3.1416 \times 36 \approx 113.1$ square cm, matching the closest listed value. $\boxed{113 \text{ cm}^2}$