I have a rather complicated geometry problem that I want to solve involving a circle.
The problem goes like this.
A circle is centered about the origin on the x-y plane with radius $R$. The point $P$ inside the circle is located at $(x_0,y_0)$ where $x_0$ and $y_0$ are positive. A line with a positive slope is drawn connecting point $P$ to the edge of the circle (let's call the point at the edge of the circle $Q$, and the angle that such a line makes with the x-axis $\theta$).
Express the length of $PQ$ as a function of $x_0$, $y_0$, $\theta$, and $R$.
Can anyone teach me how to solve this problem?