Question

(20 POINTS) Find the center and radius of each circle. Then, graph each circle.

Answer 1

center (-5,-3)

radius: 4

Explanation:

rewrite (x+5)^2+(y-3)^2=16 in the form of standard circle equation

(x-(-5))^2+(y-(-3))^2=4^2

therefore the circle properties are

(a,b) = (-5,3), r= 4

and the center is

(-5,-3)

Answer 2

Center: (-5,3)

Radius: 4

Explanation:

Let's first start with the equation of a circle:

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

The center is (-h, -k)

Which is: (-5,3)

Lastly our radius is
`√(16)`

Radius = 4

Hope this helps!