Just tested my theory in VB on my simulator, and indeed you only need
sin (or cos) lookup table for 1/4 of a circle and the PolarToCartesian
does then allow you to scale clock face and hands.

I multiplied the sin values by 4096 (maybe 256 is enough on smaller
displays) to have an Integer lookup to do integer math with Radius.
then divide result (power of 2 so a shift).

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