I'm trying to draw a circle with cut off sides looking somewhat like this:

My first approach was to just draw a stroke-circle and do clearRect on the sides - but I want to render many of these adjacent to each other and I can't afford to clear what's already been drawn on the canvas.
var size = 100;
c.save();
c.strokeStyle = '#ff0000';
c.lineWidth = 50;
c.beginPath();
c.arc(0, 0, size - c.lineWidth / 2, 0, Math.PI * 2);
c.closePath();
c.stroke();
// clear rects on each side to get this effect
c.restore();
Is there a way to limit the arc to not draw further or is there a way to clear on just my little shape somehow and later add it to the main canvas?
I'm not keen on the idea of having multiple canvas elements on top of each other.