Answer:
[tex](x-6)^2+(y-2)^2=64[/tex]
Step-by-step explanation:
The equation for a circle using the Cartesian coordinate system is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where:
- [tex](h,k)[/tex] is the center of the circle
- [tex]r[/tex] is the circle's radius
We are given:
- [tex](h,k) = (6,2)[/tex] ⇒ [tex]h=6[/tex], [tex]k=2[/tex]
- [tex]r=8[/tex] ⇒ [tex]r^2 = 64[/tex]
Thus, the equation that models the given circle is:
B) [tex]\boxed{(x-6)^2+(y-2)^2=64}[/tex]
