Question

How do you write the standard from of the equation of the circle given center (3,1) R=sqrt 3?

Answer 1

`(x-3)^2+(y-1)^2=3`

Explanation:

The standard form for a circle is
`color(white)("XXX")(x-color(red)(x_c))^2+(y-color(blue)(y_c))^2=color(green)(r^2`
where
`color(white)("XXX")`the center of the circle is at `(color(red)(x_c),color(blue)(y_c))`
`color(white)("XXX")` and the radius is `color(green)(r)`