Question

The equation of a circle is x^2 + (y + 11)^2 = 9. The center of the circle is 1. (-11, 0) 2. (0, -11) 3. (0, 11) 4. (11,0) and the radius is A. 3 B. 9 C. 81 What is the center of the circle and the radius?

Answer 1

2: (0,-11) A: r=3

Explanation:

the equation of a circle is given by the equation:

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

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

We are given:

`x^2+(y+11)^2=9`

This is the same as saying:

`(x+0)^2+(y-(-11))^2=3^2`

In other words, the center is at (0,-11).

And the radius is r=3.

Answer 2

The center is ( 0,-11) and the radius is 3

Explanation:

x^2 + (y + 11)^2 = 9.

The equation of a circle can be written in the form

(x-h)^2 + (y -k)^2 = r^2 where ( h,k) is the center and r is the radius

(x-0)^2 + (y - - 11)^2 = 3^2

The center is ( 0,-11) and the radius is 3