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24 September, 08:53

A circle and a square have the same area. find the length of the diagonal of the square divided by the radius of the circle.

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  1. 24 September, 11:28
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    Let us say that the square have edge = sqrt (pi), then its area is pi since A = edge^2, and therefore the diagonal is pi*sqrt (2).

    Meanwhile the circle of radius 1 has area pi since area of circle is A = pi * radius^2.

    Therefore we get that the diagonal of the square divided by the radius is:

    diagonal / radius = pi*sqrt (2) / 1 = pi*sqrt (2)
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