An athletics track is formed by attaching two semicircles each of radius 21 m to the opposite ends of a straight rectangular section that is 120 m long.
Respond to the following parts:
a. Show that the total length of one lap of the track is 2×120m+2π×21m.
b. Compute the numerical value of the length of one lap, taking π=22/7.
c. Find the area enclosed by the track, correct to the nearest square metre.
d. The track has 3 parallel lanes of uniform width 1 m laid inside the outer boundary. Determine the combined area of the 3 lanes, correct to the nearest square metre.