# Precalculus Examples

,

Step 1

Step 1.1

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

Step 1.2

Substitute in the values for and .

Step 1.3

Add and .

Step 1.4

Divide by .

Step 1.5

Cancel the common factor of and .

Step 1.5.1

Factor out of .

Step 1.5.2

Factor out of .

Step 1.5.3

Factor out of .

Step 1.5.4

Cancel the common factors.

Step 1.5.4.1

Factor out of .

Step 1.5.4.2

Cancel the common factor.

Step 1.5.4.3

Rewrite the expression.

Step 1.5.4.4

Divide by .

Step 1.6

Add and .

Step 2

Step 2.1

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

Step 2.2

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

Step 2.3

Simplify.

Step 2.3.1

Subtract from .

Step 2.3.2

Raise to the power of .

Step 2.3.3

Subtract from .

Step 2.3.4

Raise to the power of .

Step 2.3.5

Add and .

Step 3

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 4

The circle equation is .

Step 5