Answer:
The equation of circle C is ( x-5 )2 + ( y-7 )2 = 80 .
Step-by-step explanation:
The equation of the circle is ( x - 5)² + (y - 7)² = 80.
The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The circle C with Diameter DE is shown in the figure.
The two points on the circle is (-3,3) and (13,11)
The center of the circle is at the midpoint of the two points.
(h,k) = (( -3 + 13)/2 , ( 3 +11)/2 )
(h,k) = ( 5 , 7)
The radius is the distance between ( 5,7) and (-3,3)
r = [tex]\rm r = \sqrt{ (-3-5)^2 + (3-7)^2[/tex]
r = 8.94
The equation of the circle is
( x - 5)² + (y - 7)² = (8.94)²
( x - 5)² + (y - 7)² = 80
The missing image is attached with the answer.
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