Draw Ellipse in Swift using UIBezierPath

I believe this is what you are asking for:

var ovalPath = UIBezierPath(ovalInRect: CGRectMake(160, 160, 240, 320))
UIColor.grayColor().setFill()
ovalPath.fill()

For complex shapes I would suggest checking out PaintCode. It creates the swift code for you as you draw your shapes on screen (it has personally saved me a lot of time in the past).

Edit:

import Foundation
import UIKit

class CustomOval: UView {

    override func drawRect(rect: CGRect)
    {
            var ovalPath = UIBezierPath(ovalInRect: CGRectMake(0, 0, 240, 320))
            UIColor.grayColor().setFill()
            ovalPath.fill()
    }

}

Then :

var exampleView = CustomOval()

And then position it with constraints etc. afterwards.

Swift 4

var ovalPath = UIBezierPath(ovalIn: CGRect(x: 160, y: 160, width: 240, height: 320))
UIColor.gray.setFill()
ovalPath.fill()

let shapeLayer = CAShapeLayer()
shapeLayer.path = ovalPath.cgPath 
shapeLayer.fillColor = UIColor.clear.cgColor 
shapeLayer.strokeColor = UIColor.blue.cgColor
shapeLayer.lineWidth = 5.0
self.layer.addSublayer(shapeLayer)

Write this code in override func drawRect(rect: CGRect) in Custom UIView, then edit as you want.

override func drawRect(rect: CGRect) {
    let ellipsePath = UIBezierPath(ovalInRect: CGRectMake(100, 100, 100, 200))

    let shapeLayer = CAShapeLayer()
    shapeLayer.path = ellipsePath.CGPath
    shapeLayer.fillColor = UIColor.clearColor().CGColor
    shapeLayer.strokeColor = UIColor.blueColor().CGColor
    shapeLayer.lineWidth = 5.0

    self.layer.addSublayer(shapeLayer)
}