Question
A circle has a radius of 21 cm, and a sector makes an
angle of 60° at the center. Find the area of the sector and the length of the arc (use π = 22/7).Solution
Area of sector = (θ / 360) * π * r² = (60 / 360) * (22/7) * 21 * 21 = (1/6) * 1386 = 231 cm² Length of arc = (θ / 360) * 2 * π * r = (60 / 360) * 2 * (22/7) * 21 = (1/6) * 132 = 22 cm Correct Answer: a) Area = 231 cm², Arc = 22 cm
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