I am given the center of circle $C_x$,$C_y$ , radius $R$ and the angle of the sector $\theta$. We go clockwise.
For eg- If Center is $(0,0)$ and $R= 10$ then circle is started from line segment formed by line segment $(0,0),(0,10)$ and the $\theta$ is given in reference to it.
I am given a point $X$, $Y$ and I have to find the position of point (inside the sector or not).
So I calculated the $r$ distance from $C_x,C_y$ to point $X,Y$. I know the first condition should be that $r \le R$.
How do I check for the angle ??