SOLUTION: Write an equation for a circle with a diameter that has endpoints at (8, 7) and (–4, –3). Round to the nearest tenth if necessary.

Algebra ->  Length-and-distance -> SOLUTION: Write an equation for a circle with a diameter that has endpoints at (8, 7) and (–4, –3). Round to the nearest tenth if necessary.      Log On


   

Question 772239: Write an equation for a circle with a diameter that has endpoints at (8, 7) and (–4, –3). Round to the nearest tenth if necessary.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the mid-point formulas:

and



where and are the coordinates of the diameter end points to determine the ordered pair representing the center of the circle.

The radius of the circle is the distance from the center of the circle to either of the endpoints. Use the distance formula modified:



where and are the coordinates of the center of the circle and one of the diameter end points to determine the square of the measure of the radius.

Then



is the equation of a circle centered at with radius . All you have to do is plug in the numbers.

John

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