Quandaries
and Queries 

Does anyone have a formula for calculating the chord length for a segment of a circle when you know the radius and the enclosed angle or radian ? Thanks in advance . 

Hi, I drew a circle of radius r and center C, and a chord AB. The point M is the midpoint of the chord AB.
M is the midpoint of AB so
MC is common to both triangles AMC and MBC and
Thus triangles AMC and MBC are congruent. Hence angles AMC and BMC are comgruent and their sum is 180^{o}. Thus the measure of angle AMC is 90^{o}. Thus, since triangle AMC is a right triangle,
But angle BCA is twice angle MCA, and hence
Penny 

