How do I get $~x,y +$ degrees new coordinates?

Question

I have

• center of circle's $x_1, y_1$ (called the eye in my code)
• degrees
• current $x_2, y_2$ (coordinates on the circle)

I want to add degrees to the $x_2, y_2$ and get the new "$x_3, y_3$"

Side Note: I dropped out of school and never learned TRIG. So a simple explanation would do wonders.