In the image below, the diameter of the circle is 100, and x1=50 and y1=50 for the line's starting point in the middle.
I'd like to be able to draw the line so that it is pointing at different parts of the outer circle, similar to a clock hand. Meaning I need a formula for calculating the line's x2 and y2.
What is the equation to calculate x2 and y2?
For the minute hand
Total $360^0$ divide into $60$ equal parts$\implies$ each minute's gap $=6^0=\theta_m$ and each minute$= 60 $ seconds $\implies$ each second$=0.1^0=\theta _s$.
So if you want your minute hand to move with every second(height of exactness!! rarely seen in actual clocks!) and taking $(0,0)$ to be $(x_1,y_1)$, your required formula $$x_2=50\sin(\theta)\ ;\ y_2=50\cos(\theta)$$ where $\theta $is calculated as $\theta =$time in minutes$\times 6^0+$time in seconds$\times 0.1^0$