Answer:
The center is [tex](-4,5)[/tex] and the radius is [tex]11[/tex].
Step-by-step explanation:
The center-radius form for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
Compare:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x+4)^2+(y-5)^2=121[/tex]
[tex]-h=4[/tex] implies [tex]h=-4[/tex].
[tex]-k=-5[/tex] implies [tex]k=5[/tex]
[tex]r^2=121[/tex] implies [tex]r=\sqrt{121}=11[/tex].
The center is [tex](-4,5)[/tex] and the radius is [tex]11[/tex].
The center is (-4.5) and the radius is 11.
The center-radius form for a circle is:
⇒ (x-h)²+(y-k)² = r²
where (h,k) is the center and r is the radius.
Compare:
(x-h)²+(y-k)²
(x+4)+(-5)² = 121
-h = 4 implies h = -4.
-k = -5 implies k = 5
r² = 121 implies r = √121= 11,
The center is (-4.5) and the radius is 11.
The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.
Learn more about radius here: brainly.com/question/24375372
#SPJ2
