Problem 13 of 34geo-013
In the standard coordinate plane, the points and are the endpoints of a diameter of a circle. Which of the following is an equation of the circle?
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Solution walkthrough1:49
- A circle with center and radius has equation . Find , and .
- The center is the midpoint of the diameter. Average the values and the values to get .
- The radius runs from to : across and up , so .
- Put in , and : .
- A right side of forgets to square . squares the diameter, . Plus signs put the center at .