# Precalculus Examples

,

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

Substitute in the values for and .

Add and to get .

Divide by to get .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by to get .

Add and to get .

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

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

Simplify.

Multiply by to get .

Subtract from to get .

Remove parentheses around .

One to any power is one.

Multiply by to get .

Subtract from to get .

Remove parentheses around .

One to any power is one.

Add and to get .

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 .