What is the coordinate of a point on a circle from a different perspective?

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Discussion Overview

The discussion revolves around determining the coordinates of a point on a circle from two different perspectives: one from the center of the circle and another from the standard Cartesian coordinate system. The context includes a programming aspect related to Delphi code.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • One participant queries about the coordinates of a point on a circle centered at (h, k) with radius R, specifically asking for the coordinates from the perspective of the Cartesian system.
  • Another participant responds that the coordinates from the Cartesian perspective would be (h + R cos(theta), k + R sin(theta)).
  • A third participant expresses gratitude, indicating that the response resolved an issue in their Astrology program.
  • Subsequent posts express surprise and humor regarding the mention of an Astrology program.

Areas of Agreement / Disagreement

Participants appear to agree on the calculation of the coordinates from the Cartesian perspective, but there is a humorous disagreement regarding the appropriateness of using an Astrology program.

Contextual Notes

There may be assumptions regarding the definitions of angles and the coordinate system that are not explicitly stated. The discussion also does not delve into the mathematical derivation of the coordinates.

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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.
circle.bmp.gif

Kindly see Attached code written in Delphi.
 

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Well naturally it would be ( h + R cos(theta), k + R sin(theta) ).
 
Thanks Pal, that solved the Astrology program bug.
 
OMG! An Astrology program? uart, what have you done?
 
HallsofIvy said:
OMG! An Astrology program? uart, what have you done?

He looked God in the face, spit into his divine beard and then laughed.
 

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