Question

#9 Identify the center and radius and round to the nearest tenth if

applicable. Answer in the following way with no spaces in between: (x,y)
r=?

Answer 1

Given:

The given equation of the circle is
`x^(2) +(y-12)^2=5`

We need to determine the center and radius of the circle.

Radius:

Let us determine the radius of the circle using the general equation for circle
`(x-h)^2+(y-k)^2=r^2`

Comparing the two equations, we have;

`r^2=5`

Taking square root on both sides, we get;

`r=√(5)`

`r=2.2`

Thus, the radius of the circle is 2.2 units.

Center(h,k):

The center of the circle can be determined using the general equation of the circle
`(x-h)^2+(y-k)^2=r^2`

Comparing the general equation with the equation of the circle, we have;

`(h,k)=(0,12)`

Thus, the center of the circle is (0,12)