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    Question

    A horse is tethered to a

    peg fixed at one corner of a rectangular grass field measuring 45 metres in length and 25 metres in width. The rope tied to the horse is 28 metres long. Assuming the horse cannot cross the boundaries of the field, what is the area of the field the horse can graze? (Use π = 3?)
    A 1226 m² Correct Answer Incorrect Answer
    B 656 m² Correct Answer Incorrect Answer
    C 588 m² Correct Answer Incorrect Answer
    D 1256 m² Correct Answer Incorrect Answer
    E 656 m² Correct Answer Incorrect Answer

    Solution

    ATQ,

    Since the horse is tied at a corner and cannot cross the boundaries, the area grazed is a quarter of a circle.

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