The Area of a Circle Whose Radius is the Diagonal of a Square Whose Area is 4 is:

  1. 16π
Anurag Mishra Professor Asked on 17th November 2015 in Maths.
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    Answer: (1) 8 π

    The area of a square = d²/2
    Where, d = diagonal of a square.

    Then, 4 = d²/2
    d² = 4 x 2
    d² = 8
    Square root on both side,
    d = √8
    Square and circle
    The radius of a circle = diagonal of a square   (Given in the question)
    Then,the radius of the circle = √8

    The area of the circle = π R²

    Where, R = radius of the circle.

    Then, the area of the circle = π (√8)²
    = 8π

    Hence, the answer is (1) 8 π.

    Anurag Mishra Professor Answered on 17th November 2015.
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