# Precalculus Examples

,

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 to get .

Raise to the power of to get .

Subtract from to get .

Remove parentheses around .

Raise to the power of to get .

Add and to get .

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 .

Simplify the circle equation to get .