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Question
A running track has 2 semicircular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.
Solution
Radius of semi-circular track = 63 m
Perimeter of 2 semi-circles = Perimeter of 1 circle
Perimeter of a circular track = 2πr
Perimeter of circular track = `2 xx 22/7 xx 63`
= 2 × 22 × 9
= 44 × 9
= 396 m
∵ The perimeter of the total track is 1000 m.
∴ Length of two straight lengths track = 1000 – 396 = 604 m
Length of 1 straight length track = `604/2` = 302 m
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