From: Al Paas

The level of the question would,I assume, be at the secondary level.

I am no longer a student (other)

? How to determine the length of a chord given the diameter of the circle and the maximum distance from the chord to The circle?

Thank you very much.

If the radius is r, half the chord is h, and d is its distance from the center, then the Pythagorean theorem gives h² = r² - d². Just replace r by (the given diam)/2, and d by M - r where M is the maximum distance from the chord to the circle. Calculate h² = r² - d² take the square root of h², and multiply by 2 to get the chord's length.

Cheers,
Chris