2023 · Q90
The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. What is the area of the sector?
Elementary MathematicsCircles
- A15.6 square cm
- B15 square cm
- C14.4 square cm
- D14.1 square cm
Explanation
The sector perimeter 16.4 = 2r + arc gives arc = 16.4 − 10.4 = 6 cm. The sector area is ½·r·arc = ½ × 5.2 × 6 = 15.6 square cm (A).