Homework Help: Geometry

Posted by Jillian on Wednesday, March 24, 2010 at 6:44pm.

A diameter of a circle is 32 yards long. A chord is 11 yards from the center. How long is the chord?

Geometry - Reiny, Wednesday, March 24, 2010 at 8:14pm
diameter = 32
r = 16

Let the length of the chord be 2x.
Join one end of the chord to the centre.
You now a right-angled triangle with hypotenuse of r, one leg as 11 and the other leg as x

x^2 + 11^2 = (16)^2
x^2 = 135
x = √135

so the chord has length 2√135 or 23.24 yards

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