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    Question

    A goat is tied with a 10.5 m-long rope to one corner of

    a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on.
    A 62.25 m² Correct Answer Incorrect Answer
    B 53.5 m² Correct Answer Incorrect Answer
    C 57.75 m² Correct Answer Incorrect Answer
    D 51.75 m² Correct Answer Incorrect Answer

    Solution

    area which goat can graze = (60/360) x (22/7) x (length of rope)2 = (1/6) x (22/7) x (10.5)2 = (22/42) x 110.25 = 22 x 2.625 = 57.75 m² Note :: Here (60/360) was done. Because goat is grazing that part of the field.

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