Write an equation in standard form for the circle?

Answer:
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
Look at the picture.
We have
center at (3, 5) → h = 3 anf k = 5
radius r = 8
Substitute:
[tex](x-3)^2+(y-5)^2=8^2\\\\(x-3)^2+(y-5)^2=64[/tex]