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Find the area of the circle in which a square of area 64 cm2 is inscribed.

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I would like to give a question which
i could not solve.Rd sharma class 10
maths exercise-15.4 mensuration.

In this question we have to find the area
of the circle in which a square of area
64 cm2 is inscribed.

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1 Answer

  1. Given,

    Area of square inscribed the circle = 64 cm2

    Side2 = 64

    Side = 8 cm

    So, AB = BC = CD = DA = 8 cm

    In triangle ABC, by Pythagoras theorem we have

    AC2 = AB2 + BC2

    AC2 = 82 + 82

    AC2 = 64 + 64 = 128

    AC = √128 = 8√2 cm

    Now, as angle B = 90o and AC being the diameter of the circle

    The radius is AC/2 = 8√2/2 = 4√2 cm

    Thus, the area of the circle = πr2 = 3.14(4√2)2

    = 100.48 cm2

     

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