Question

Write an equation in standard form for the circle?

Answer 1

(x - 3)² + (y - 5)² = 64

Explanation:

The standard form of an equation of a circle:

`(x-h)^2+(y-k)^2=r^2`

(h, k) - center

r - radius

Look at the picture.

We have

center at (3, 5) → h = 3 anf k = 5

radius r = 8

Substitute:

`(x-3)^2+(y-5)^2=8^2\\\\(x-3)^2+(y-5)^2=64`