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18 December, 16:48

By what number do you multiply the radius of a circle to double its area? Show the process to get the answer.

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  1. 18 December, 17:13
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    Area of circle = πr²

    New doubled area = πR² (r ≠ R)

    As it is double of older area:

    πR² = 2πr²

    R² = 2r²

    R = √2r

    Thus we have to multiply the radius to √2 to double its area
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