CALayer with transparent hole in it

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I was able to solve this with Jon Steinmetz suggestion. If any one cares, here’s the final solution: 

int radius = myRect.size.width;
UIBezierPath *path = [UIBezierPath bezierPathWithRoundedRect:CGRectMake(0, 0, self.mapView.bounds.size.width, self.mapView.bounds.size.height) cornerRadius:0];
UIBezierPath *circlePath = [UIBezierPath bezierPathWithRoundedRect:CGRectMake(0, 0, 2.0*radius, 2.0*radius) cornerRadius:radius];
[path appendPath:circlePath];
[path setUsesEvenOddFillRule:YES];

CAShapeLayer *fillLayer = [CAShapeLayer layer];
fillLayer.path = path.CGPath;
fillLayer.fillRule = kCAFillRuleEvenOdd;
fillLayer.fillColor = [UIColor grayColor].CGColor;
fillLayer.opacity = 0.5;
[view.layer addSublayer:fillLayer];

Swift 3.x: 

let radius = myRect.size.width
let path = UIBezierPath(roundedRect: CGRect(x: 0, y: 0, width: self.mapView.bounds.size.width, height: self.mapView.bounds.size.height), cornerRadius: 0)
let circlePath = UIBezierPath(roundedRect: CGRect(x: 0, y: 0, width: 2 * radius, height: 2 * radius), cornerRadius: radius)
path.append(circlePath)
path.usesEvenOddFillRule = true

let fillLayer = CAShapeLayer()
fillLayer.path = path.cgPath
fillLayer.fillRule = kCAFillRuleEvenOdd
fillLayer.fillColor = Color.background.cgColor
fillLayer.opacity = 0.5
view.layer.addSublayer(fillLayer)

Swift 4.2 & 5:

let radius: CGFloat = myRect.size.width
let path = UIBezierPath(roundedRect: CGRect(x: 0, y: 0, width: self.view.bounds.size.width, height: self.view.bounds.size.height), cornerRadius: 0)
let circlePath = UIBezierPath(roundedRect: CGRect(x: 0, y: 0, width: 2 * radius, height: 2 * radius), cornerRadius: radius)
path.append(circlePath)
path.usesEvenOddFillRule = true

let fillLayer = CAShapeLayer()
fillLayer.path = path.cgPath
fillLayer.fillRule = .evenOdd
fillLayer.fillColor = view.backgroundColor?.cgColor
fillLayer.opacity = 0.5
view.layer.addSublayer(fillLayer)

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