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#1 2016-06-30 07:31:09

Oran2009
Member
Registered: 2016-06-13
Posts: 21

Circle Geometry Questions

I have some problems that I would like full solutions and answers.. Please help me quick!

1) Let

be twelve equally spaced points on a circle with radius 1. Find

(The sum includes the square of the distance between any pair of points, so the sum includes

2) Let

be a cyclic quadrilateral. Let
be the intersection of
and
, and let
be the intersection of
and
. Prove that the angle bisectors of
and
are perpendicular.
diagram

Please help me.

Last edited by Oran2009 (2016-06-30 07:34:19)

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#2 2016-06-30 22:07:51

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Circle Geometry Questions

Last edited by thickhead (2016-07-08 21:05:25)


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#3 2016-07-07 08:04:03

ncyaclauds
Member
Registered: 2016-06-18
Posts: 8

Re: Circle Geometry Questions

I don't understand how you got <D + x + y = 90, from those three equations and I believe that you described the points wrong. did you mean G was the point where the two bisectors intersected?

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#4 2016-07-07 16:48:36

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Circle Geometry Questions

Now it stands corrected.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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