Getting Coordinates of a Point in a circle

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so I have written a class which draws me a Circle. I obviously know the radius and the center coordinates of the circle. Let's say I want to draw a Point with a distance to the center equal to the half of the radius (r*0.5) and with an angle of 59 degrees. How can I draw the Point at the correct x and y coordinates?

I coded this in Android, but I think the programming language isn't relevant for this problem, it's just something mathematical.

I appreciate your help.

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