Identify the center and radius. (x-6)^(2)+(y-1)^(2)=9

Recognize standard form: Recognize the standard form of a circle's equation, which is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius. Compare given equation: Compare the given equation (x-6)² + (y-1)² = 9 with the standard form. Identify h=6, k=1, and r²=9. Calculate radius: Calculate the radius r by taking the square root of 9. r = √9 = 3.

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Identify the center and radius.

(x-6)^(2)+(y-1)^(2)=9

Identify the center and radius. $\newline$ $(x-6)^{2}+(y-1)^{2}=9$

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Q. Identify the center and radius.

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(x-6)^{2}+(y-1)^{2}=9

Recognize standard form: Recognize the standard form of a circle's equation, which is $(x-h)^2 + (y-k)^2 = r^2$ , where $(h, k)$ is the center and $r$ is the radius.
Compare given equation: Compare the given equation $x-6)^2 + (y-1)^2 = 9\ with the standard form. Identify \$h=6$ , $k=1$ , and $r^2=9$ .
Calculate radius: Calculate the radius $r$ by taking the square root of $9$ . $r = \sqrt{9} = 3$ .