Thread: Points on Cocentric Circles

There are two concentric circles with center O



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

Hello, tariqchpk!

There are two concentric circles with center O.



Given: Points
. . . . .
. . . . . is the midpoint of and
. . . . .

Find points in cartesian coordinates.

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:.

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?

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.