Question

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

Answer 1

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

Step-by-step 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

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

Answer 2

Answer:

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

Step-by-step 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.