Answer:
(x+6)^2+(y-5)^2 = 3.1622^2
Explanation:
The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2
So, we already can find this portion of the equation knowing the center of the circle:
(x+6)^2+(y-5)^2= r^2
Next, we find the distance between the two given points to find the radius.
6-5 = 1
-3--6 = 3
1^2+3^2 = c^2
1+9= c^2
10=c^2
3.1622...
So, now we know the full equation.
(x+6)^2+(y-5)^2 = 3.1622^2