Raj was very late for the morning assembly. The principal asked him to run 0.616 km as a punishment. The shape of the ground is in a form of semi-circle mounted on the rectangle as shown. How many times will raj have to pass the starting point in order to complete the punishment?

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Solution

The correct option is D
7

The perimeter of half circle is π r.

Perimeter of half semicircle = $π \times \frac{14}{2}$ = 7 $π$ = 22m. (Radius is half of the diameter)

Total perimeter = perimeter of the semi-circle + side of 14m + side of 26 m + side of 26 m = 22 + 14 + 26 + 26 = 88 m

No. of rounds = 0.616 $\times$ $\frac{1000 m}{88 m}$ = 7.

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