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Find the perimeter of a sector which forms a central angle of 90° in a circle of radius 28 cm. (Use

Question

Find the perimeter of a sector which forms a central

angle of 90° in a circle of radius 28 cm. (Use π = 22/7)

A 96 cm Correct Answer Incorrect Answer

B 100 cm Correct Answer Incorrect Answer

C 104 cm Correct Answer Incorrect Answer

D 88 cm Correct Answer Incorrect Answer

Solution

Arc length = (θ / 360) × 2πr = (90 / 360) × 2 × (22 / 7) × 28 = (1 / 4) × 176 = 44 cm Perimeter of sector = Arc length + 2 × Radius = 44 + 2 × 28 = 44 + 56 = 100 cm

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