Question

The given figure depicts a racing track whose right and left ends are semicircular. The distance between the two inner parallel line segments is 60m and they are each 106m long. If the track is 10m wide.(i) the distance around the track along its inner edge (ii) The area of the track. Running should be made compulsory for students, give your opinion.

Answer 1

1)Perimeter of inner circle
= `106+106+30pi+30pi`
=`212+60pi`
2)Outer area=`106*80+40^2pi`
=`8480+1600pi^2`
Inner area=`106*60+30^2pi^2`
=`6360+900pi`
Area of track=`8480-6360+1600pi-900pi`
=`2120+700pi`
=4319.11`m^2`.