Question

Figure depicts a racing track whose left and right ends are semi-circular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find the area of the track (in $m^2$).

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Answer 1

Area of track = Area of Field - Area inside the track

The area of the track =106 x 80 —106 x 60 + $2\times \frac{1}{2}\times \frac{22}{7}\times ({40}^2-{30}^2)$

=106 x 20 + $\frac{22}{7}$ $\times$ (70) $\times$ (10)

=2120 +700 x $\frac{22}{7}$ = 2120 + 2200

= 4320 $m^2$