A sector of a circle radius 14 cm subtends an angle 135° at the center
MATHEMATICS
WAEC 2001
A sector of a circle radius 14 cm subtends an angle 135° at the center of the circle. What is the perimeter of the sector? Take π = 22/7
- A. 47cm
- B. 61cm
- C. 88cm
- D. 231cm
Correct Answer: B. 61cm
Explanation
Perimeter of the sector = \(2r + \frac{\theta}{360} \times 2\pi r\)
= \(2(14) + \frac{135}{360} \times 2 \times \frac{22}{7} \times 14\)
= \(28 + 33\)
= 61 cm
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