How do I find the most right point on a circle?

Question

I have given the center point and the radius of a circle but i am interested in the most right point which is lying on that circle.

edited: thanks for the comments. I have the central point c and have the radius r as well. And my question was what is the equation to get the most right point p on the circle surrounding the center by the given radius.

r = sqrt((p1-c1)(p1-c1) + (p2-c2)(p2-c2))

then i am looking for the (p1,p2) point

At the end I found it out with the help and hint from you. As I mentioned I had the central point C and the radius R and I was looking for the most right point P on the edge of the circle. My approach what finally helped was to calculate a square around the circle (bounding box) and take as x coordinate for the P point the x coordinate of the top right corner of that bounding box, and the y coordinate for the P point the y of the C point. Thanks for every help, as far as it showed me the right direction.

P(x,y)=(xC,yC)+v⃗ R <--- this helped also as the v⃗ R is a normal vector on the right edge of the mentioned bounding box.

Answer 1

HINT

Assuming the center at $C(x_C,y_C)$ any other point on the circle with radius $R$ can by obtained by

$$P(x,y)=(x_C,y_C)+\vec v_R$$

with $|\vec v_R|=R$.

Answer 2

I would draw a picture. How is the $x$-coordinate of the rightmost point related to the $x$-coordinate of the center? How are their $y$-coordinates related?