Math CentralQuandaries & Queries


Question from Nishan:

If chord length is given along with angle then how to calculate the radius.


I drew a diagram and labeled some of the points

corcle sector

$D$ is the midpoint of $AB$ so you know the length of $DA.$ You know the measure of the angle $BCA$ so you can determine the measure of the angle $DCA.$ Angle $ADC$ is a right angle. Do you see why? What trig functions relates the lengths of the sides $CA$ and $AD$ in triangle $ADC,$ and the measure of the angle $DCA?$


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