,

Use the midpoint formula to find the midpoint of the line segment.

Substitute in the values for and .

Cancel the common factor of and .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Add and .

Cancel the common factor of and .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Add and .

Use the distance formula to determine the distance between the two points.

Substitute the actual values of the points into the distance formula.

Simplify.

Subtract from .

Raise to the power of .

Subtract from .

Raise to the power of .

Add and .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

is the equation form for a circle with radius and as the center point. In this case, and the center point is . The equation for the circle is .

The circle equation is .

Find the Circle Using the Diameter End Points (-2,8) , (6,4)