question_answer 63)

                  Calculate the length of the arc of a circle of radius 31.0 cm which subtends an angle of \[\frac{\pi }{6}\] at the centre.                 

Answer:

                  \[\text{Angle = }\frac{\text{Length of arc}}{\text{radius}}\]                 \[\therefore \] \[\text{Length of arc = Angle  }\!\!\times\!\!\text{  radius}\]                 \[=\frac{\pi }{6}\times 31.0\,\,cm=16.2\,\,cm\]