Question
Find the perimeter of a sector which forms a central
angle of 135° in a circle of radius 28 cm. (Use π = 22/7)Solution
Arc length = (θ / 360) × 2πr = (135 / 360) × 2 × (22 / 7) × 28 = (3 / 8) × 176 = 66 cm Perimeter of sector = Arc length + 2 × Radius = 66 + 2 × 28 = 66 + 56 = 122 cm
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