# Precalculus Examples

,

Step 1

Step 1.1

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

Step 1.2

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

Step 1.3

Simplify.

Step 1.3.1

Subtract from .

Step 1.3.2

Raise to the power of .

Step 1.3.3

Subtract from .

Step 1.3.4

Raise to the power of .

Step 1.3.5

Add and .

Step 1.3.6

Rewrite as .

Step 1.3.6.1

Factor out of .

Step 1.3.6.2

Rewrite as .

Step 1.3.7

Pull terms out from under the radical.

Step 2

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 .

Step 3

The circle equation is .

Step 4

Simplify the circle equation.

Step 5