Questions: Find the equation of the circle shown. Write equation in standard form:

Find the equation of the circle shown. Write equation in standard form:
Transcript text: Find the equation of the circle shown. Write equation in standard form: $\square$
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Solution

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Solution Steps

Step 1: Identify the center of the circle

The center of the circle is at the point (2, -2).

Step 2: Determine the radius of the circle

The radius of the circle is the distance from the center to any point on the circle. From the graph, the radius is 2 units.

Step 3: Write the equation of the circle in standard form

The standard form of the equation of a circle with center \((h, k)\) and radius \(r\) is: \[ (x - h)^2 + (y - k)^2 = r^2 \] Substituting \(h = 2\), \(k = -2\), and \(r = 2\): \[ (x - 2)^2 + (y + 2)^2 = 2^2 \] \[ (x - 2)^2 + (y + 2)^2 = 4 \]

Final Answer

\[ (x - 2)^2 + (y + 2)^2 = 4 \]

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