Question

How do you write the equation of the circle with Center (0, 0), radius = 6?

Answer 1

`x^2+y^2=36`

Explanation:

The general equation of a circle with center `(color(red)(a),color(blue)(b))` and radius `color(green)(r)` is
`color(white)("XXX")(x-color(red)(a))^2+(y-color(blue)(b))^2=color(green)(r)^2`

Sustituting
`color(white)("XXX")color(red)(0)` for `color(red)(a)`
`color(white)("XXX")color(blue)(0)` for `color(blue)(b)` and
`color(white)("XXX")color(green)(6)` for `color(green)(r)`
gives the Answer (above)