Where the line intersects the circle

Prologue:

I am a graphic designer who often creates her own scripts to help with the process. So, I'm not a high-school student. It's been over 20 years since high school geometry (I'm deliberately not counting - I don't want to know). Anyway, I hope one of you wizards will take pity on me dispite my non-student & non-teacher status...(Bow)

Problem:

I'm attempting to calculate the x,y coordinate of a point along a circle at a given angle. (it happens to be the point at which a line radiates from the center of the circle outward). I know the radius of the circle & the center points. I know the angle.

Possibilities:

I tried to take the equation of a circle $\displaystyle (x + h)^2 +(y+k)^2=r^2$ & plug in the equation of the line $\displaystyle y = mx + b$ but my brain fused. Ouch. Any suggestions?

Thank you,

Mae