SOLUTION: Write the equation of a circle with endpoints (5,1) and (-4,-1) I have it down to: (x-1/2)^2+(y-0)^2= 85/4 Which is "right" but needs to be reduced. Thank you for the hel

Algebra ->  Coordinate-system -> SOLUTION: Write the equation of a circle with endpoints (5,1) and (-4,-1) I have it down to: (x-1/2)^2+(y-0)^2= 85/4 Which is "right" but needs to be reduced. Thank you for the hel      Log On


   

Question 1121655: Write the equation of a circle with endpoints (5,1) and (-4,-1)
I have it down to:
(x-1/2)^2+(y-0)^2= 85/4
Which is "right" but needs to be reduced.
Thank you for the help with reducing it.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Endpoints? Your two given points are to define one of the circle's diameters?
Find square of the radius, and reduce.


%285-%28-4%29%29%5E2%2B%281-%28-1%29%29%5E2------square of the distance between the given points

9%5E2%2B2%5E2

81%2B4

85--------the diameter squared

sqrt%2885%29---------the diameter

sqrt%2885%29%2F2---------RADIUS


SQUARE OF RADIUS: %28sqrt%2885%29%2F2%29%5E2
85%2F4-------Nothing to reduce.
You could write as mixed number 21%261%2F4