Ruijinzhang419 Ruijinzhang419
  • 20-09-2017
  • Mathematics
contestada

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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barnuts
barnuts barnuts
  • 04-10-2017

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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