Given the coordinates of a single point on a circle and a length of an arc L, how do I find the coordinates of another point? Or, to put in another form: I have the radius r, the length of the arc L and (x_1,y_1) the coordinates. I need to express (x_2,y_2) using only r,L,x_1, and y_1.

beninar6u 2022-09-05 Answered
Given the coordinates of a single point on a circle and a length of an arc L, how do I find the coordinates of another point?

Or, to put in another form: I have the radius r, the length of the arc L and ( x 1 , y 1 ) the coordinates. I need to express ( x 2 , y 2 ) using only r , L , x 1 , and y 1 .

I'm at a dead end on this.
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Answers (1)

seppegettde
Answered 2022-09-06 Author has 7 answers
Traveling along a fixed circle, is basically rotating a vector around a fixed point. For that we can use the well known rotation matrix ( cos θ sin θ sin θ cos θ ) . But to succesfully do this you need to know the center of you circle first, like ccorn mentioned
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