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The points j(-8,9) and k(-2,-5) are endpoints of a diameter of circle C. What equation would represent circle C

 Apr 17, 2020
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The points  (-8, 9)  and  (-2, 5)  are the endpoints of the diameter.

 

To find the center of the circle, find the midpoint between these two points:

              midpoint  =  ( (x1 + x2) / 2 , (y1 + y2) / 2 )  =  (  (-8 + -2) / 2. (9 + -5) / 2 )  =  (-5. 2)

 

To find the radius, find the distance from the center to one of the endpoints:

             radius  =  sqrt[ (x2 - x1)2 + (y2 - y1)2 ]  =  sqrt[ (-5 - -8)2 + (2 - 9)2 ]  =  sqrt( 9 + 49 )  =  sqrt(58)

 

The equation of a circle with center (h, k) and radius = r is:  (x - h)2 + (y - k)2  =  r2  

             (x - -5)2 + (y - 2)2  =  58

 Apr 17, 2020

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