SOLUTION: I have a circle of which I know the center (0,0), the radius (360) and two dynamic coordinates ((x1,y1) & (x2,y2)). What I need to be able to figure out (as both(x,y) coordinates

Algebra ->  Trigonometry-basics -> SOLUTION: I have a circle of which I know the center (0,0), the radius (360) and two dynamic coordinates ((x1,y1) & (x2,y2)). What I need to be able to figure out (as both(x,y) coordinates       Log On


   

Question 851763: I have a circle of which I know the center (0,0), the radius (360) and two dynamic coordinates ((x1,y1) & (x2,y2)).
What I need to be able to figure out (as both(x,y) coordinates are moveable) is the mid-point coordinates along the arc.
To clarify: the mid-point coordinate along the ARC, not the line!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Polar coordinates might work better here.
R is always the same, only theta changes.
T%5B1%5D=tan%5E%28-1%29%28y1%2Fx1%29
T%5B2%5D=tan%5E%28-1%29%28y2%2Fx2%29
T%5Bm%5D=%28T%5B1%5D%2BT%5B2%5D%29%2F2
x%5Bm%5D=R%2Acos%28T%5Bm%5D%29
y%5Bm%5D=R%2Asin%28T%5Bm%5D%29