passpadi

2018

Mathematics

JAMB

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 22/7)

A.

14.67 cm

B.

73.33 cm

C.

101.33 cm

D.

513.33 cm

Correct Answer: 101.33 cm

Explanation

Length of the arc = θ/360 × 2πr = 300/360 × 2 × 22/7 × 14 = 220/3 = 73.33 cm Perimeter of the sector = Length of the arc + 2r = 73.33 + 2(14) = 101.33 cm

Length of the arc = θ/360 × 2πr = 300/360 × 2 × 22/7 × 14 = 220/3 = 73.33 cm Perimeter of the sector = Length of the arc + 2r = 73.33 + 2(14) = 101.33 cm
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