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Points on Cocentric Circles

There are two concentric circles with center O

__Attachment 22830__

__Known__ Points A,B,C,O,M, Radius OC=OA=OB=r1 and OC’=OA’=OB’=r2 are also known

__Assumption__. M is the mid point of AB and A’B’ , Angle OMB=Angle OMA=90 degree

__To be found__ Points A’, B’, C’ in Cartesian Coordinates

Re: Points on Cocentric Circles

Hello, tariqchpk!

Place center at the origin.

The larger circle has equation:

. .

Let

The horizontal line has equation:.

The line and the circle intersect at:

. .

And we have:.

Re: Points on Cocentric Circles

Dear Soroban

Thanks for the reply.

There is a problem in my case i.e. cernter of the circles O is not the origin so what changes be made to accommodate it?

Re: Points on Cocentric Circles

Quote:

Originally Posted by

**tariqchpk** Dear Soroban

Thanks for the reply.

There is a problem in my case i.e. cernter of the circles O is not the origin so what changes be made to accommodate it?

You are expected to make an effort here. If you understand post #2 you should be able to make the necessary changes yourself.