Question

Write an equation of the circle with center (-7,4) and radius 11.

Answer 1

(x + 7)^2 + (y - 4)^2 = 121.

Explanation:

The standard form is

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

So the required equation is

(x - (-7))^2 + (y - 4)^2 = 11^2

(x + 7)^2 + (y - 4)^2 = 121.

Answer 2

Answer: (x+7)^2 + (y-4)^2 = 121 or (x+7)^2 + (y-4)^2 = 11^2

Explanation:

Equation of the circle is:

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

-Place the center (-7,4) and radius 11 onto that equation:

`(x+7)^2+(y-4)^2=121` (if simplified radius needed)

or

`(x+7)^2(y-4)^2=11^2`