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Question

An ox tied to a pole situated at one of the corners of a field, with 10 m long rope. The ox moves keeping the rope tight. Find the area of the ground swept by the rope.


A

31.4 m2

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B

614 m2

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C

314 m2

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D

416 m2

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Solution

The correct option is C

314 m2


If the ox will move around the pole with the rope tied, then

the pole where the ox is tied will be the centre of the circle and length of the rope will be the radius=10 m.

So, Area of circle =πr2 = 3.141×102 =314 m2


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