An athletics track is formed by attaching two semicircles each of radius 21 m to the…
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
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.