A jogging track is formed by attaching semicircular ends to the two shorter sides of…

MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A jogging track is formed by attaching semicircular ends to the two shorter sides of a rectangular field that measures 80 m80\,\text{m} by 50 m50\,\text{m}. Answer the following. (a) Calculate the total area enclosed by the outer edge of the track. (b) Determine the length of the outer boundary of the track that an athlete covers in one complete round. (c) If the track is to be re-surfaced at a cost of Rs. ₹120 per square metre, find the total expenditure.

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