The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter
MATHEMATICS
WAEC 1993
The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter of the sector [Take π = 22/7] A. 22cm B. 33.5cm C. 43cm D. 66cm E. 115.5cm
- A. 22cm
- B. 33.5cm
- C. 43cm
- D. 66cm
Correct Answer: C. 43cm
Explanation
Perimeter of a sector = \(2r + \frac{\theta}{360} \times 2\pi r\)
= \(2(10.5) + \frac{120}{360} \times 2 \times \frac{22}{7} \times 10.5\)
= \(21 + 22\)
= 43 cm
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