How to decompose the number of points in a circle?

Question

Mathematics

It is necessary to decompose the n-th number of objects in a circle, with equal intervals. I remembered that any n-gonal convex figure can be placed in a circle, maybe you can start from this ... Thank you!

Answer 1

If you need to place the points along the circle, then the easiest way to do this is in the polar coordinate system . The conversion formulas are:

x = R*cos(phi) + x0
y = R*sin(phi) + y0

, where R is the radius of the circle, phi is the angle of rotation from the x-axis counterclockwise, the center of the circle is at the point M(x0, y0) . Accordingly, if you need N points, then
phi = (0,1,2...N-1)*(2*pi/N)