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# Square inscribed inside a circle question?

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Director
Joined: 29 Nov 2012
Posts: 877

Kudos [?]: 1357 [0], given: 543

Square inscribed inside a circle question? [#permalink]

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18 Jan 2013, 04:16
If the square is inscribed inside a circle, the diagonal of the square will be diameter of the circle? any exceptions to this?
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Re: Square inscribed inside a circle question? [#permalink]

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18 Jan 2013, 04:22
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fozzzy wrote:
If the square is inscribed inside a circle, the diagonal of the square will be diameter of the circle? any exceptions to this?

A right triangle inscribed in a circle must have its hypotenuse as the diameter of the circle. The reverse is also true: if the diameter of the circle is also the triangle’s side, then that triangle is a right triangle.

Hence, not only the diagonal of an inscribed square but also the diagonal of an inscribed rectangle will be the diameter of the circle, since rectangle (as well as square) is made of two tight triangles (hypotenuse of right triangle = diagonal).

Hope it's clear.
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Re: Square inscribed inside a circle question?   [#permalink] 18 Jan 2013, 04:22
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# Square inscribed inside a circle question?

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