$\"\"$

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Given that Center $\"\"$

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Let $\"\"$ and $\"\"$ . $\"\"$

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The distance between center and the point on the circle is known the radius.

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$\"\"$

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$

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$\"\"$ (Simplify)

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$\"\"$ (Evaluate powers)

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$\"\"$ $\"\"$ (Simplify) $\"\"$

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$\"\"$ (Equation of a circle)

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$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Evaluate powers) $\"\"$

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The Equation of a circle is $\"\"$ .