The points j(-8,9) and k(-2,-5) are endpoints of a diameter of circle C. What equation would represent circle C
+23245 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
