Question

Raj runs and covers a distance of 0.616 km in the ground which is in the shape of semi-circle mounted on the rectangle as shown below. Find the number of rounds taken by Raj to cover the distance

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Answer 1

Perimeter of half circle = $\pi$ r + d .
But according to the figure given here ,
the perimeter of the part of the semi circle = $\pi \times \frac{14}{2}=7\pi =7\times \frac{22}{7}=22m.$ (Radius is half the diameter)

Hence, total perimeter = Perimeter of the half circle + side of 14 m + side of 10 m + side of 10 m

= (22 + 14 + 10 +10) m = 56 m.

Number of rounds he will have to make to complete the punishment = $\frac{0.616\times 1000m}{56m}$ = 11 rounds.