Co-ordinate Geometry: Circle Problem

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Co-ordinate Geometry (Circle problem)

I've a small Query.
Suppose a circle is plotted with its center at distance h,k (from x=0, y=0) with radius R. If theta is an angle from h,k to any point over the circle, we know that the co-ordinate of that point, from (h,k) perspective, will be Rcos(theta),Rsin(theta). In such a case, what shall be the co-ordinate of the SAME POINT, if it is taken from x,y.

 

[CompuChip]

Welcome to PF ad_bose.

May I suggest vector addition?
Let c be the vector from the origin to the center of the circle, and p the point on the circle with respect to the center. Then the vector P of the point on the circle with respect to the origin is ... ?

 

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Thanks for your suggestion. My query is simple.

The given parameters are :
1. R = Radius of the circle
2. h,k = the co-ordinates with respect to Origin (x,y = 0,0)
3. \theta - The angle from h,k along the x-axis to the mentioned point
If the origin is fixed at x,y and is 0,0; what will be the x-distance and the y-distance of the point from Origin.

I am actually preparing a computer program, in Embarcadero Delphi.
The code is given in attachment. Any help is highly appreciated. I need to actually place an object over the circle from 0,0. Kindly see the code.

 

[CompuChip]

As I said (or was trying to say), try adding h to the x-coordinate and k to the y-coordinate.

 

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Thanks pal, the Astrology program bug is solved.