I have sphere and plane that intersects:
$$ (1): x^2+y^2+z^2=2^2=4 $$ $$ (2): x+y+z=1 $$
I know how to sketch this graph. I also know the resulting area. But how should I be able to get the center and the radius of circle?
I have tried to square complementing and subtract each equation, and to see if I can figure these things out. I have also tried to express eq. 2 as a function of (x,y) and put that in eq. 1.
Does someone know how to get the center point, and the radius?