Problem

ignment 11-1 \&1-2
Sketch the graph of the following circle.
\[
x^{2}+(y-3)^{2}=25
\]
(a) Find the center of the circle.
(b) Find the radius of the circle.
(c) Graph the circle.
(a) Find the center of the circle.
(Type an ordered pair.)

Answer

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Answer

Circle: (x-0)^{2} + (y-3)^{2} = 5^{2}

Steps

Step 1 ：Center: \((h, k) = (0, 3)\)

Step 2 ：Radius: \(r = \sqrt{25} = 5\)

Step 3 ：Circle: (x-0)^{2} + (y-3)^{2} = 5^{2}

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