SOLUTION: In circle O, a diameter has endpoints (-5,4) and (3,-6). What's the length of the diamter?

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Question 668756: In circle O, a diameter has endpoints (-5,4) and (3,-6). What's the length of the diamter?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The length of the diameter is equal to the distance between the two points.

So use the distance formula to get

d = sqrt((x2-x1)^2+(y2-y1)^2)


d = sqrt((3-(-5))^2+(-6-4)^2)


d = sqrt((3+5)^2+(-6-4)^2)


d = sqrt((8)^2+(-10)^2)


d = sqrt(64+100)


d = sqrt(164)


d = sqrt(4*41)


d = sqrt(4)*sqrt(41)


d = 2*sqrt(41)


So exact distance between the two points is 2*sqrt(41) units.


Using a calculator, the approximate distance is roughly 12.80625 units.

Therefore, the diameter is exactly 2%2Asqrt%2841%29 units long. The diameter is approximately 12.80625 units long.