Swift, polar coordinates - swift

Question

I have to draw 12 points in a circle with different radiant. From point 1, draw a line to point 2, from point 2 to 3, etc. The lines will not be a problem.
I can not find a formula to find the 12 * (x,y), but I think it's something with polar coordinates / circle?
Is anyone working with it and maybe want to share with me?
See the picture which might explain better than I can:

Answer 1

This is the result I got:
And This is my Playground:
//: Playground - noun: a place where people can play
import Foundation
import UIKit
class DemoView: UIView {
override func draw(_ rect: CGRect) {
let origin = CGPoint(x: frame.size.width / 2, y: frame.size.height / 2)
let radius = frame.size.width / 2
self.createCircle(origin: origin, radius: radius)
self.addLinesInCircle(origin: origin, radius: radius)
}
func createCircle(origin: CGPoint, radius: CGFloat) {
let path = UIBezierPath()
path.addArc(withCenter: origin, radius: radius, startAngle: 0, endAngle: CGFloat(2 * Double.pi), clockwise: true)
path.close()
UIColor.orange.setFill()
path.fill()
}
func addLinesInCircle(origin: CGPoint, radius: CGFloat) {
let path = UIBezierPath()
let incrementAngle: CGFloat = CGFloat.pi / 6
let ratios: [CGFloat] = [3/6, 5/6, 3/6, 1/6, 5/6, 2/6, 4/6, 2/6, 4/6, 4/6, 4/6, 4/6, 3/6]
for (index, ratio) in ratios.enumerated() {
let point = CGPoint(x: origin.x + cos(CGFloat(index) * incrementAngle) * radius * ratio,
y: origin.y + sin(CGFloat(index) * incrementAngle) * radius * ratio)
if index == 0 {
path.move(to: point)
} else {
path.addLine(to: point)
}
}
path.close()
UIColor.black.set()
path.stroke()
}
}
let demoView = DemoView(frame: CGRect(x: 0, y: 0, width: 320, height: 320))