Question 765499
{{{drawing( 400, 400, -15, 15, -15, 15,  circle(0,0,11.5), line(-sqrt(83.25),-7,sqrt(83.25),-7), blue(line(0,0,sqrt(83.25),-7)), green(line(0,0,0,-7)), line(0,-6,1,-6), line(1,-6,1,-7), locate(3.5,-5.5,"x"), locate(-1,-3,"7"), locate(3.5,-1,"11.5"))}}}
Using Pythagorean Theorem:
{{{x^2 + 7^2 = 11.5^2}}}
{{{x = sqrt(11.5^2 - 7^2)}}}
{{{x = sqrt(83.25)}}} or 9.124 (approx)
The length of the chord is 2x = {{{highlight(2sqrt(83.25))}}} cm or approximately 18.248 cm.
ANSWER: {{{highlight(2sqrt(83.25))}}} cm or approximately 18.248 cm