SOLUTION: A circle has radii of length 12 inches. Find the distance from the center of the circle to a chord length of 14 inches.

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Question 192239: A circle has radii of length 12 inches. Find the distance from the center of the circle to a chord length of 14 inches.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
use pythagorean theorem
:
where hypothenuse is length of the radius
:
one leg is 1/2 of the length of the chord
:
and the other leg(lets call a) is our unknown (distance from center of circle to chord
:
a%5E2%2B7%5E2=12%5E2
:
a%5E2=95%29
:
a=sqrt%2895%29=9.75 inches