You can convert polar coordinates to Cartesian x,y coordinates with:
// polar to Cartesian double x = Math.cos( angleInRadians ) * radius; double y = Math.sin( angleInRadians ) * radius; // Cartesian to polar. double radius = Math.sqrt( x * x + y * y ); double angleInRadians = Math.acos( x / radius );If your angles are in degrees, to see how to convert them to radians, see the radians entry. To convert to drawing coordinates you must round to integers and invert the sign of y, since y grows down in Java rather than up as in mathematics.
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