$\"\"$

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Let the end points of the diameter : $\"\"$ and $\"\"$ .

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The center of circle is the midpoint of the diameter :

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$\"\"$

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The radius of the circle is the half - distance between $\"\"$ and $\"\"$

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Apply distance formula: $\"\"$ )

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Substitute the values of $\"\"$ and $\"\"$ in the distance formula

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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The standard form of the circle is $\"\"$ .

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Substitute the values of $\"\"$ and $\"\"$ in the standard form of the equation of a circle.

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$\"\"$

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$\"\"$

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$\"\"$ $\"\"$

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