Answers

2014-03-11T20:34:38+01:00
Find the measure of the angle t in the diagram. The length a of the arc is a fraction of the length of the circumference which is 2 π r. In fact the fraction is . The angle t is a fraction of the central angle of the circle which is 360 degrees. It's the same fraction. Thus t = 360 × degrees. Step2: Find the length c of the chord RQ in the diagram S is the midpoint of RQ so |SQ| = c/2 and the measure of the angle SPQ is t/2. Also QSP is a right angle so sin(t/2)= |SQ|/r. Hence |SQ| = r × sin(t/2) and thus c = 2 × r × sin(t/2).
0