The line y=x+1 and a circle with radius 2 sqrt 2 and center (-1,0) intersect. Find the equation of the circle.

Answer 1

The equation of a circle, center h,h, radius r is

(x-h)² + (y-k)² = r²

Here h = -1, k = 0, r² = 4 x 2 = 8

So you can just substitute these to get the equation

It's irrelevant that y=x+1 intersects the circle