function polarToCartesian(centerX, centerY, radius, angleInDegrees) { var angleInRadians = (angleInDegrees-90) * Math.PI / 180.0; return { x: centerX + (radius * Math.cos(angleInRadians)), y: centerY + (radius * Math.sin(angleInRadians)) };}
function describeArc(x, y, radius, startAngle, endAngle){ var start = polarToCartesian(x, y, radius, endAngle); var end = polarToCartesian(x, y, radius, startAngle); var arcSweep = endAngle - startAngle <= 180 ? "0" : "1"; var d = [ "M", start.x, start.y, "A", radius, radius, 0, arcSweep, 0, end.x, end.y, "L", x,y, "L", start.x, start.y ].join(" "); return d; }