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. 4320
• B. 4350
• C. 4520
• D. 4420

Answer 1

The correct option is A 4320

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

The area of the track
$=(106\times 80-106\times 60)+2\times \frac{1}{2}\pi ({40}^2-{30}^2)=106\times 20+\pi \times \left(70\right)\left(10\right)=2120+700\times \frac{22}{7}=2120+2200=4320m^2$