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Find the area of a sector whose perimeter is 64 cm and length of the arc is 44 cm. |
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Answer» Length of the arc of the sector l = 44 cm Perimeter of the sector P = 64 cm l + 2r = 64 cm 44 + 2 r = 64 . 2 r = 64 – 44 2 r = 20 r = 20/2 = 10 cm2 Area of the sector = lr/2 sq. units = (44×10)/2 cm2 = 22 × 10 cm2 = 220 cm2 Area of the sector = 220 cm2 |
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