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I would like to find coordinates for points on a circle given:

  1. Radius of circle
  2. Coordinates of 2 points on the circle
  3. Angle of point 1, center, and point 2.

Ultimately, I would like to write a formula in excel to calculate points on circle to stake out coordinates for surveying.

Thanks again for your help. Please let me know if I can provide any more information or rewrite question using better terminology.

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This must be impossible to accomplish? –  user143599 Apr 17 at 17:59
    
Not quite. See below. –  Mick Jul 4 at 19:28

1 Answer 1

Refer to the diagram below:-enter image description here

(1) From given A and B, draw the corresponding perpendicular bisector such that P is their point of intersection.

(1.1) The co-ordinates of P can be found (by midpoint formula).

(2) From the given angle (say, 2θ), bisect it such that it is θ + θ.

(3) Find y where y = R cos θ.

(4) From P, draw arcs with radius = R cos θ cutting the brown line at Q. (Note that there are two positions of Q.)

(5) Q is now the center and QA (or QB) is the radius of the circle required.

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