WAEC - Mathematics (2001 - No. 40)

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 \(\pi = \frac{22}{7}\)
47cm
61cm
88cm
231cm

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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