Question

HELP DUE IN 15 MINS!

1. Center: ( , ) ??

2. Radius: ??

3. Equation of the circle: ??

Answer 1

Center:
`(-2, 3)`

Radius:
`4`

Equation of circle:
`(x+2)^2+(y-3)^2=16`

Explanation:

The equation of a circle with radius
`r` and center
`(h, k)` is given by:

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

What we've found:

• radius of
  `4`
• center at
  `(-2,3)`

Substituting given values, we get:

`(x-(-2))^2+(y-3)^2=4^2,\\\boxed{(x+2)^2+(y-3)^2=16}`