SOLUTION: Line UV is the diameter of circle W. If the endpoints of the diameter are (1,-7) and (15,3), what is the length of the radius?

Algebra ->  Length-and-distance -> SOLUTION: Line UV is the diameter of circle W. If the endpoints of the diameter are (1,-7) and (15,3), what is the length of the radius?      Log On


   



Question 901892: Line UV is the diameter of circle W. If the endpoints of the diameter are (1,-7) and (15,3), what is the length of the radius?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the distance between the two points using the distance formula.
That distance is the diameter of the circle.
The radius is one half of that value.
D%5E2=%281-15%29%5E2%2B%28-7-3%29%5E2
D%5E2=%28-14%29%5E2%2B%28-10%29%5E2
D%5E2=196%2B100
D%5E2=296
D=sqrt%28296%29
D=2%2Asqrt%2874%29
So then,
R=%281%2F2%29D
R=sqrt%2874%29