$\"\"$

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The given endpoints of a diameter at $\"\"$

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$\"\"$ (Apply Mid point formula)

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

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$\"\"$ (Product of two different signs is negative)

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$\"\"$ (Subtract the numerator: $\"\"$ )

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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Find the radius,

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$\"\"$ (Apply Distance formula)

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

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$\"\"$ (Product of two same signs is positive)

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$\"\"$ (Add: $\"\"$ )

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

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$\"\"$ (Add: 4 + 4 = 8)

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the radius of the circle is $\"\"$ , So $\"\"$ . $\"\"$

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The equation of a circle with center $\"\"$ and radius r units is $\"\"$ .

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

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$\"\"$ (Product of two same signs is positive) $\"\"$

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The equation of the circle is $\"\"$ .