SOLUTION: find the center and radius of the circle circumscribed about the right triangle with vertices (1,1),(1,4) and (7,4)

Algebra ->  Circles -> SOLUTION: find the center and radius of the circle circumscribed about the right triangle with vertices (1,1),(1,4) and (7,4)      Log On


   

Question 809996: find the center and radius of the circle circumscribed about the right triangle with vertices (1,1),(1,4) and (7,4)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The pair of points making the longest segment is the hypotenuse of the triangle and also a diameter of the circle. You need only to find which segment is the two points and you then have or can easily find both the center and the radius. The midpoint of this diameter is the center. Half the length of the diameter is the radius.