SOLUTION: Suppose a chord of a circle is 50 inches long and is 60 inches from the center. Find the length of the radius.

Algebra ->  Circles -> SOLUTION: Suppose a chord of a circle is 50 inches long and is 60 inches from the center. Find the length of the radius.       Log On


   

Question 769702: Suppose a chord of a circle is 50 inches long and is 60 inches from the center. Find the length of the radius.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Consider a right angled triangle.
The vertical side = 60ins (Distance
of chord from centre)
The base side = 25ins (half of the chord)
The radius will now constitute the hypotenuse.
Vertical side^2 + Base side^2 = Hypotenuse^2
60^2 + 25^2 = Hypotenuse^2
Hypotenuse^2 = 4225
Hypotenuse = sqrt%284225%29
Hypotenuse = 65ins
This is the length of the radius.
Hope this helps.
:-)