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2021

Mathematics

JAMB

The angle of a sector of a circle, radius 10.5 cm, is 48°, Calculate the perimeter of the sector

A.

8.8 cm

B.

25.4 cm

C.

25.6 cm

D.

29.8 cm

Correct Answer: 29.8 cm

Explanation

Length of Arc AB = θ/360 2πr = 48/360 x 2(22/7) x 21/2 = (4 × 22 × 3)/30 = 88/10 = 8.8 cm Perimeter = 8.8 + 2r = 8.8 + 2(10.5) = 8.8 + 21 = 29.8 cm

Length of Arc AB = θ/360 2πr = 48/360 x 2(22/7) x 21/2 = (4 × 22 × 3)/30 = 88/10 = 8.8 cm Perimeter = 8.8 + 2r = 8.8 + 2(10.5) = 8.8 + 21 = 29.8 cm
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