Problem

Write the standard form of the equation of the circle described below. Center $(-8,9), r=9$ The standard form of the equation of the circle is $\square$. (Type an equation. Simplify your answer.)

Solution

Step 1 :The standard form of the equation of a circle is given by \((x-a)^2 + (y-b)^2 = r^2\), where \((a, b)\) is the center of the circle and r is the radius.

Step 2 :In this case, the center of the circle is \((-8, 9)\) and the radius is 9.

Step 3 :We can substitute these values into the standard form to get the equation of the circle: \((x - (-8))^2 + (y - 9)^2 = 9^2\).

Step 4 :Simplifying this equation gives us the final answer: \(\boxed{(x + 8)^2 + (y - 9)^2 = 81}\).

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Source: https://solvelyapp.com/problems/RzoSx6NZke/

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