SOLUTION: a chord 10 inches long is 5 inches from the center of a circle. How far from the center is a chord 14 inches long?

Question 292754: a chord 10 inches long is 5 inches from the center of a circle. How far from the center is a chord 14 inches long?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
chord 10 inches long is 5 inches from the center of a circle.
How far from the center is a chord 14 inches long?
:
Find r:
r is the hypotenuse of a triangle where both legs are 5" long (half the 10" chord)
r^2 = 5^2 + 5^2
r^2 = 50
:
Find the distance x from the center to the 14" chord
7^2 + x^2 = r^2
49 + x^2 = 50
x^2 = 40 - 49
x^2 = 1
x = 1" distance from the center to the 14" chord
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