I'm doing some programming and when I was working angles of rotation, I have found that I need to be able to find a certain point of a sector regardless of the arc angle. It is something that I've found to have difficulty with. Finding the sector length doesn't tell us anything that leads to finding out this.
I need a solution that is able to stand up to all various different scenarios, such as different angles and positions on the circle.
The values in the example picture below, are just for explanatory purposes.
Circle example: http://i.imgur.com/Nf638.png