dart game board is divided into sectors by 30 degrees like pizza slice. the given is (x, y) coordinates, and I need to find where coordinates are lying on. how can I get the angle just with coordinates???? should I use trigonometric function??? how??? or can I transform the slope of line into the angle???
I searched through google, but cannot find the answer. Sorry for beginner's question.
If you have a coordinate system with origin at the center of the circle, x-axis horizontal, and y-axis vertical, then $x= r cos(\theta)$ and $y= r sin(\theta)$ where r is the straight line distance from the center of the circle to the point (x, y) and $\theta$ is the angle the line from the center of the circle to the point makes with the horizontal.