$\"\"$

\

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

\

Mid point = $\"\"$ .

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Find the radius, apply distance formula. \ \

\

$\"\"$

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Evaluate powers: $\"\"$ .

\

$\"\"$

\

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

\

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

\

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

\

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

\

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