Question

A circle has a center at (-4,-1) and a radius of 9.Create the equation of the the circle:(x2+ (yWord Bank:- 4 -1 81 18 3 +4 + 1Blank 1:Blank 2:Blank 3:

Answer 1

Substitute the given values into the center-radius form of the equation of a circle.

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

where (h,k) is the center of the circle and r is the radius of the circle.

Thus, we have the following equation.

`\begin{gathered} (x-(-4))^2+(y-(-1))^2=(9)^2 \\ (x+4)^2+(y+1)^2=81 \end{gathered}`

Thus, the answers for the blanks are as follows.

Blank 1: +4

Blank 2: +1

Blank 3: 81