To solve this problem, we will first find the standard form of the circle equation. Given a circle of radius r and center (h,k), the standard form of the circle equation would be
In our case, we have h=8 , k=6 and r=10. So the equation for the given circle would be
The general form of the circle equation can be obtained from expanding the squares on the left side of the equality sign. Recall that
So, applying this to the standard equation we get
So our equation becomes
Operating on the left side, we have
By subtracting 100 on both sides, we get
which the general form of the equation of the given circle.
Using a graphing tool, we have that the circle's graph would be