Question

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.

Answer 1

Radius of semi-circular track = 63 m
Perimeter of 2 semi-circles = Perimeter of 1 circle
Perimeter of a circular track $=2\pi r$
Perimeter of circular track $=2\times \frac{22}{7}\times 63$
$=2\times 22\times 9=44\times 9=396m$
$\because$ The perimeter of the total track is 1000 m
$\therefore$ Length of two straight lengths track
= 1000 - 396
= 604 m
Length of 1 straight length track $=\frac{604}{2}=302m$