2015 · Q71
From a rectangular sheet of sides 18 cm and 14 cm, a semicircular portion with smaller side as diameter is taken out. Then the area of the remaining sheet will be
Elementary MathematicsMensuration
- A98 {cm}²
- B100 {cm}²
- C108 {cm}²
- D175 {cm}²
Explanation
This tests area subtraction. The sheet's area is 18 × 14 = 252 cm². The semicircle's diameter is the smaller side, 14 cm, so its radius is 7 cm and its area is ½π(7²) = 24.5π ≈ 76.97 cm². The remaining area is 252 - 76.97 = 175.03 ≈ 175 cm². The distractors 98–108 cm² come from using the diameter as the radius or subtracting a full circle. Hence option (d).