Quandaries
and Queries
how do you find the length of a chord given the angle and radius of the circle
Hi,
Let A be the midpoint of the chord PQ, C be the center of the circle and theta the angle subtended by the chord at the center of the circle. Triangle ACQ is a right triangle and hence
sin( theta/2) = |AQ|/r
Hence
chord length = 2
|AQ| = 2
Penny
