write the equation in standard form for the circle with center (6,5) and radius 8.
The standard form equation for a circle with center (a,b) and radius r is:
(x - a)^2 + (y - b)^2 = r^2
Using the given center (6,5) and radius 8, we plug in these values:
(x - 6)^2 + (y - 5)^2 = 8^2
Simplifying:
(x - 6)^2 + (y - 5)^2 = 64
Therefore, the standard form equation for the circle with center (6,5) and radius 8 is (x - 6)^2 + (y - 5)^2 = 64.