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# What is the area of the parallelogram inscribed in a circle?

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Re: What is the area of the parallelogram inscribed in a circle? [#permalink]

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03 Oct 2016, 06:15
Only a square and a rectangle can be inscribed in a circle and their diagonals must be equal to the diameter of the circle.

From (1) we have many side combinations that add-up to 10. For example: 5 and 5 (area 25) and 3 and 7 (area 21). Insufficient.
From (2) we can calculate the radius (and thus the diagonals). But we don't have info that could help us reveal if it's a square or a rectangle. If it was a square we could get the area. If it isn't, we couldn't.

Together we can use pythagoras and get the area. diagonal= 5, side=x, side=10-x

C.
Re: What is the area of the parallelogram inscribed in a circle?   [#permalink] 03 Oct 2016, 06:15
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