Answer:
(x - 2)² + (y + 8)² = 121
Step-by-step explanation:
circle: (x – h)² + (y – k)² = r² (h , k) center r: radius
h = 2 k = - 8 r = 11
equation: (x - 2)² + (y + 8)² = 121
The equation of circle can be determine by using general equation of circle.
The equation for circle would be [tex](x - 2)^2+ (y + 8)^2 = 121[/tex].
Given:
The center of circle is [tex](2,-8)[/tex].
The radius is [tex]11[/tex].
Write the general equation of circle.
[tex](x-h)^2 + (y-k)^2= r^2[/tex]
Where, [tex](h,k)[/tex] is center of circle and [tex]r[/tex] is the radius of the circle.
Substitute [tex]2[/tex] for [tex]h[/tex], [tex]-8[/tex] for [tex]k[/tex] and [tex]11[/tex] for [tex]r[/tex] in above equation.
[tex](x - 2)^2 + (y + 8)^2 = 121[/tex]
Thus, the equation for circle would be [tex](x - 2)^2+ (y + 8)^2 = 121[/tex].
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