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

Answer 1

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