SOLUTION: Show that the points (-2,5), (-2,-1) and (4,-1) all lie on a circle whose center is at (1,2). Find the length of the radius. Thank You So Much! God Bless!

Algebra ->  Length-and-distance -> SOLUTION: Show that the points (-2,5), (-2,-1) and (4,-1) all lie on a circle whose center is at (1,2). Find the length of the radius. Thank You So Much! God Bless!       Log On


   

Question 892475: Show that the points (-2,5), (-2,-1) and (4,-1) all lie on a circle whose center is at (1,2). Find the length of the radius.

Thank You So Much! God Bless!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Show that the points (-2,5), (-2,-1) and (4,-1) all lie on a circle whose center is at (1,2). Find the length of the radius.
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Find the distance of each of those points from (1,2)
Example::
d = sqrt[(2-5)^2+(1--2)^2] = sqrt[3^2+3^2] = sqrt(18) = 3sqrt(2)
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d = sqrt[(2--1)^2+(1--2)^2] = sqrt{3^2 + 3^2] = sqrt(18) = 3sqrt(2)
etc.
Cheers,
Stan H.
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