Question

Graph each circle given below right the center and radius of each circle

Answer 1

The center of circle is (-3,-2) and radius of circle is √6.

Explanation:

We have given an equation of circle.

(x+3)²+(y+2) = 6

We have to plot the graph of circle.

(x-h)²+(y-k)² = r² where (h,k) is center and r is radius of circle.

Given equation is (x-(-3))²+(y-(-2))² = (√6)²

comparing above equation with standard equation, we have

(h,k) = (-3,-2) and r = √6

Hence, the center of circle is (-3,-2) and radius of circle is √6.

Answer 2

Center: (-3,-2)

Radius: √6

The graph is attached.

Step-by-step explanation:

The equation of the circle has the form:

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

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

The equation given in the problem is

`(x +3)^(2)+(y+2)^(2)=6`

Therefore:

h=-3

k=-2

The center is at (-3,-2)

And the radius is:

`r^2=6\\r=√(6)`

Then, you can graph it has you can see in the image attached.