The center of a circle is located at the midpoint of the line segment connecting the points (-6,-8) and ( 1/2, 4). Find the coordinates of the center of the circle, the exact (no decimal approximation) radius of the circle and the equation of the circle in standard form.

Question

The center of a circle is located at the midpoint of the line segment connecting the points (-6,-8) and ( 1/2, 4). Find the coordinates of the center of the circle, the exact  (no decimal approximation) radius of the circle and the equation of the circle in standard form.

anonymous · Answer

|dw:1315248114943:dw|

the center of the circle is on the midpoint of the line AB

anonymous · Answer

that means A and B lie on the circle.. use mid point formula to get the coordinates of the center. use distance formula to calculate the radius

anonymous · Answer

So, I figured the midpoint to be (-2.75,-2).  When I tried to do the distance part to calculate the radius, I got $$\sqrt{112.56}$$.  Given that it stated we need to give an exact (no decimal approximation) radius... I don't know where to go from there...