The diameter of a circle has end points j(12,4) and k(-4,8) a) find the ordered pair of the center, c, of the circle (midpoint ) b) find length of the radius ,cj of circle c

diameter = 4√17;

radius = 2√17; and

center:  (4,6)

Step-by-step explanation:

The end points J (12,4) and K(-4,8) define the diameter of a circle, as well as the radius and center.  

Using the distance formula to find the diameter, d, we get:

d = √ ( (12+4)^2 + (4-8)^2 ) = √ ( 256 + 16 ), or √272 = √(8)(34)

                                         =  √(17)(2^4)) = 4√17

and the radius is half that, or 2√17.  The coordinates of the center can be found using the midpoint rule:  ( [12-4]/2, [4+8]/2 ), or (4, 6).

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