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Question 71

A running track has 2 semi-circular 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 =2×227×63
=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 =6042=302 m

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