Problem

Write the equation in standard form for the circle with center $(0,-9)$ and radius 6 .

Answer

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Answer

The equation in standard form is \(\boxed{x^2 + (y + 9)^2 = 36}\)

Steps

Step 1 ：Write the equation in standard form: \((x - 0)^2 + (y + 9)^2 = 6^2\)

Step 2 ：Simplify the equation: \(x^2 + (y + 9)^2 = 36\)

Step 3 ：The equation in standard form is \(\boxed{x^2 + (y + 9)^2 = 36}\)

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