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

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Manager
Joined: 28 May 2008
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Re: Geometry-DS [#permalink]  25 Jun 2008, 18:26
isnt area of a parellelogrm = d1*d2
where d1,d2 are the two diagonals.
Using B, we can find the diameter. which is nothing but the diagonal
and since both the diagonals are same , we can find the area using B.

Please correct me if I am wrong
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Re: Geometry-DS [#permalink]  25 Jun 2008, 19:58
zeenie wrote:
isnt area of a parellelogrm = d1*d2
where d1,d2 are the two diagonals.

No, that is not true in general. I'm sure you're thinking of the rhombus, which is a special type of parallelogram- one with all sides equal; the area of a rhombus is one half of the product of the diagonals (and not the product). But you can see, by looking at a rectangle with length 4 and width 3 (and thus diagonals of 5), that if a parallelogram is not a rhombus, the area will not in general be equal to half the product of the diagonals.
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Manager
Joined: 28 May 2008
Posts: 98
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Kudos [?]: 8 [0], given: 0

Re: Geometry-DS [#permalink]  25 Jun 2008, 20:10
Thanks Ian..
After this disaster, I need to brush up my geometry!!
VP
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Re: Geometry-DS [#permalink]  25 Jun 2008, 20:50
zeenie wrote:
isnt area of a parellelogrm = d1*d2
where d1,d2 are the two diagonals.
Using B, we can find the diameter. which is nothing but the diagonal
and since both the diagonals are same , we can find the area using B.

Please correct me if I am wrong

Quadrilateral diagonal lengths are equal ie d1=d2?

square yes
rectangle yes
rhombus no
||grm no
Re: Geometry-DS   [#permalink] 25 Jun 2008, 20:50

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