Answer:
(x−7)2+(y−2)2=130
Step-by-step explanation:
The standard form of a circle is
(x-h)^2+(y-k)^2=r^2(x−h)2+(y−k)2=r2
where x and y are points on the circle, h and k are the center, and r is the radius. We have what we need to fill in everything but the radius, but we will solve for that like this:
(-2-7)^2+(-5-2)^2=r^2(−2−7)2+(−5−2)2=r2
Simplifying gives you
(-9)^2+(-7)^2=r^2(−9)2+(−7)2=r2
and
81+49=r^281+49=r2
so r^2=130r2=130
