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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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