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

Step 1: The largest circle that fits inside a rectangle has a diameter equal to the shorter side of the rectangle.
Step 2: The shorter side here is 12 cm, so the diameter of the circle \( = 12 \) cm and the radius \( = 6 \) cm.
Step 3: Area \( = \pi r^2 = \dfrac{22}{7} \times 6 \times 6 = \dfrac{792}{7} \approx 113.14 \) cm².
Answer: 113 cm².