Answer:
For the given circle, the center is at (-7,4) and radius is 7
Step-by-step explanation:
Given equation of the circle is [tex](x+7)^2+(y-4)^2=49\hfill (1)[/tex]
To find the center and radius of given circle with the help of its equation:
Equation of the circle is of the form
(x-h)^2+(y-k)^2=r^2\hfill (2)[/tex] with center at (h,k) and radius is r.
Given [tex](x+7)^2+(y-4)^2=49[/tex]
The above equation can be written as,
[tex](x-(-7))^2+(y-4)^2=7^2\hfill (3)[/tex]
Now comparing the equations (2) and (3) we get
h=-7, k=4 and r=7
Therefore center at (h,k) is (-7,4) and radius is 7
For the given circle, the center is at (-7,4) and radius is 7
