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A cow is tied with a rope of length 14 m at the corner of a rectangle field of dimensions 20 m x 16 m, find the area of the field in which the cow can graze.

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One of the important question for the board exam class 10 from
mensuration chapter.This question is from r d sharma class 10 maths.
chapter-15.4 question number-7 maths r d sharma,mensuration.

In this question we have to find the area of the field in which the
cow can graze given that a cow is tied with a rope of length 14 m at
the corner of a rectangle field of dimensions 20 m x 16 m.

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1 Answer

  1. The dotted portion indicated the area over which the cow can graze.

    It’s clearly seen that, the shaded area is the area of a quadrant of a circle of radius equal to the length of the rope.

    Thus, the required area = ¼ x πr2

    = ¼ x 22/7 x 14 x 14

    = 154

    Hence, the area of the field in which the cow can graze is 154 cm2

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