



 
Hi Larry, The circumference of a circle of radius r = 185 inches is 2 π r = 370 π inches. The length of your arc is a fraction of the circumference, in fact it is 186.5/(370 π) = 0.1604 of the circumference. By the symmetry of the circle the angle θ is the same fraction o 360^{o}. Thus
To find the cord length I let M be the midpoint of the cord Triangle AMC is a right triangle and the measure of angle MCA = 57.76^{o}/2 = 28.88^{o}. Thus
so
Harley  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 