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What is the equation of this cricle?

A. (x - 1)2 + (y - 3)2 = 4
B. x2 + (y-3)2 = 16
C. x2 + (y + 3)2 = 16
D. (x - 3)2 + y2 = 16

What is the equation of this cricle A x 12 y 32 4 B x2 y32 16 C x2 y 32 16 D x 32 y2 16 class=

Respuesta :

gmany

Answer:

[tex]\huge\boxed{B.\ x^2+(y-3)^2=16}[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where

[tex](h,\ k)[/tex] - center

[tex]r[/tex] - radius

From the graph we have

center - (0, 3) → h = 0, k = 3

radius - r = 4

Substitute:

[tex](x-0)^2+(y-3)^2=4^2\\\\x^2+(y-3)^2=16[/tex]