SOLUTION: The endpoints of the diameter of the circle are (4,5) and (8,7). Find the equation of the circle in standard form

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Question 1167224: The endpoints of the diameter of the circle are (4,5) and (8,7). Find the equation of the circle in standard form
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.

The center has coordinates


    x =  = 6    (the average of x-coordinates of endpoints).


    y =  = 6    (the average of y-coordinates of endpoints).


The radius is the distance from the center to either of endpoints


    r =  =  = .


The equation of the circle in the standard form is


     +  = 5.      ANSWER


Solved.



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