Graphing Circles

Question

A circle is centered at (0,-8) passes through the point (2,-5). Find the equation of the circle.

Answer 1

(x-0)²+(y-(-8))2=r²

x²+(y+8)²=r²

To find r we put x=2 and y=-5

2²+(-5+8)²=r²

r²=13.

So the equation is

x²+(y+8)²=13