Question

what is the equation of the circle with center (0,0) the passes through the point (5,-5). please help

Answer 1

Answer:

x² + y² = 50

Step-by-step explanation:

The circle centered at (h, k) with radius r has equation ...

... (x -h)² + (y -k)² = r²

You have (h, k) = (0, 0), so all we need to do is find r². We can do that by choosing r² so that the equation is true at the given point.

... x² + y² = (5)² + (-5)² = 25 + 25 = 50

Your equation is x² + y² = 50.