2024 · Q71
If P is the area of the smallest sector and Q is the area of the largest sector, then what is P + Q equal to ?
Elementary MathematicsCircles
- A88/3 square cm
- B77/3 square cm
- C149/6 square cm
- D616/9 square cm
Explanation
The five sector angles 2x, 3x, 7x, 5x and x total 18x = 360°, so x = 20°. The smallest sector P subtends 20° and the largest Q subtends 140°. Hence P + Q = (160/360) × π × 7² = 616/9, option (d).