Problem

Determine the equation of the circle with radius \( \sqrt{120} \) and center \( (-5,-2) \).

Answer

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Answer

3. Simplify the equation: (x+5)^2 + (y+2)^2 = 120

Steps

Step 1 ：1. Write the general equation of a circle: (x-a)^2 + (y-b)^2 = r^2

Step 2 ：2. Plug in the center (-5,-2) and radius \( \sqrt{120} \): (x+5)^2 + (y+2)^2 = \( \sqrt{120} \)^2

Step 3 ：3. Simplify the equation: (x+5)^2 + (y+2)^2 = 120

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