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Observe the graph: The two points lies on the circle are $\"\"$ and $\"\"$

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The standard form of circle equation is $\"\"$ , where $\"\"$ is center and $\"\"$ is radius of the circle.

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Find the center of the circle.

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Mid point of the two end points is center of the circle.

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The end points are $\"\"$ and $\"\"$ .

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Calculate the mid point between two points by using formula, $\"\"$ .

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Substitute $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ and $\"\"$ for $\"\"$ in above formula.

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find the radius of the circle.

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Center $\"\"$ and $\"\"$ .

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Substitute the above values in $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Radius $\"\"$ .

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Substitute the $\"\"$ and $\"\"$ in standard form.

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$\"\"$

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$\"\"$ .

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Center $\"\"$ and radius $\"\"$ .

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Standard form of the circle is $\"\"$ .