I know the coordinates of one point on a circle, this point is part of a sector. I know the angle of the sector at the centre of radius, I know the radius and I know the arc length. How do I calculate the coordinates of the other coordinate of the sector ?
I have quickly mocked up the problem in the image above, please note it is B I am aiming to find.
Angle in rads = 0.262
Radius = 21
Arc length = 5.5
A = (0.5,21)
Best Answer
Same technique as in your other question here.
Let $A = (x,y)$ and let $B= (x_1, y_1)$. Then $$ x_1 = \; x\cos(0.262) + y\sin(0.262) \\ y_1 = -x\sin(0.262) + y\cos(0.262) \\ $$
This assumes the center is again at $(0,0)$.