[Math] How to find the coordinates of 10 points spaced equally on a circle

circlesgeometrypythagorean triples

I am not extremely good at math but I am working with computer graphics and I need to find a way to cut a circle equally in to 10 sections. To do this I need to define 10 points on the circle and my basic geometry skills have failed me.

I can so far find the point on the circle using this:
$$x^2 + y^2 = r^2$$

Best Answer

Using degrees, your points are $$(r\times\cos(36^{\circ}x+18^{\circ}),r\times\sin(36^{\circ}x+18^{\circ}))\\\text{with }x=\{0,1,2,3,4,5,6,7,8,9\}$$

I don't know the technical way to express this.

What this does is give you the $(x,y)$ coordinates of a radius $r$ long from $(0,0)$ at the angles $\{18^{\circ},54^{\circ},90^{\circ},\dots,342^{\circ}\}$