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Question

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 the form of semi-circle mounted on the rectangle as shown below. How many times will Raj have to pass the starting point in order to complete the punishment?


A
11
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B
12
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C
9
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D
10
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Solution

The correct option is A 11

Perimeter of half circle is π r

Perimeter of semicircle = π×142=7π=22m. (Radius is half the diameter)

Total perimeter = Perimeter of the semi-circle + side of 14m + side of 10m + side of 10m

= 22 + 14 + 10 +10 = 56m

Number of rounds he makes to complete the punishment = 0.616×1000m56m = 11 rounds


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