Distance and Midpoint Formulas

In this section we will review the distance and midpoint formulas.

Notice that the distance formula results in a real number and that the midpoint formula results in an ordered pair.

[ Interactive: Distance and Midpoint ]

Given two points find the distance and midpoint between them.

   

   

   

   

Video Lessons:

• Distance Formula ( Proof and Example )
• Midpoint Formula ( Proof and Example )

 

Use the distance and/or midpoint formulas to solve the following.

Example: If the diameter of a circle is defined by the two points (-3, 4) and (7, 4), find the center and radius of the circle. (Hint: diameter = 2r)

Example: Find the area of a circle given center (-3, 3) and point (3, 3) on the circle.

   

Video Examples on YouTube:

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YouTube Example: Find the coordinates of an endpoint given the other endpoint and the midpoint.

[ Find the Endpoint given the Midpoint ]

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