Question

How do you write an equation of a circle with center (3, -2) and radius 7?

Answer 1

`(x-3)^2+(y+2)^2=49`

Explanation:

The general formula of equation of the circle is defined as:
`(x-a)^2+(y-b)^2=r^2`

Where `(a,b)` are the coordinates of the center and `r` is the value of the radius.

So, `a=3` , `b=-2` and `r=7`

The equation of this circle is:
`(x-3)^2+(y-(-2))^2=7^2`
`color(blue)((x-3)^2+(y+2)^2=49)`