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 $m^2$).

• A. 3896
• B. 4960
• C. 4320
• D. 4440

Answer 1

The correct option is C

4320

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

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

=106 x 20 + $\pi$ (70)(10)

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

= 4320$m^2$