Calculate Points(X, Y) Within an Arc

Calculate Points(X, Y) Within an Arc
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I am trying to draw lines from the center of a circle to points (x, y) in the circumference.

To calculate this the angle is used. I need to render points in between two angles. E.g. Angle 0 to angle 1 I would like to render lines from the center of the circle to 5 different points along the circumference between angle 0 and 1. There might be any number of points in between these two angles.

How can I calculate these 5 points? I would need to calculate the (x, y) using angle i and the (x, y) using angle i+1. and then get the arc between these two points.

How is this done and how would I then get the individual points within this arc so that I can incrementally draw lines from the center to these individual points?

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1 Answer

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For circles around $(0,0)$ with radius $r$, the point $(x,y)$ on the circumference at angle $\varphi$ is $$ (x,y) = (r\cos\varphi, r\sin\varphi) \text{.} $$

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David Miller
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David Miller

David Miller brings 15 years of experience in global economics, personal finance strategy, and market dynamics. He specializes in turning complex economic trends into actionable insights for everyday readers.