Question

Using C#:

How do I get the (x, y) coordinates on the edge of a circle for any given degree, if I have the center coordinates and the radius?

There is probably SIN, TAN, COSIN and other grade ten math involved… 🙂

Answer 1

Here’s the mathematical solution which can be applied in any language:

x = x0 + r * cos(theta)
y = y0 + r * sin(theta)

x0 and y0 are the coordinates of the centre, r is the radius, and theta is in radians. The angle is measured anticlockwise from the x-axis.

This is the code for C# specifically if your angle is in degrees:

double x = x0 + r * Math.Cos(theta * Math.PI / 180);
double y = y0 + r * Math.Sin(theta * Math.PI / 180);