2nd Point of Sector that lies on Circle on a 2D coordinate plane?

Question

Hey can anyone help in finding the second coordinate of sector that lies on circle.

I have a circle of radius 10 units, centred at (0,0). I am parting a sector of angle theta(sector can be minor or major). I have coordinate of First points of sector that lie on circle wanna find other points.

How to achieve that?

Answer 1

Let use polar coordinates, then

• $x=R\sin \theta$
• $y=R\cos \theta$

indeed for

• $\theta=0$ we have the point $(0,R)$

• $\theta=\pi/2$ we have the point $(R,0)$

and so on.