A belt wraps part-way around two pulleys before running straight between them

MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A belt wraps part-way around two pulleys before running straight between them. The belt is in contact with a 6.0 cm6.0\,\text{cm}-radius pulley over an angle of 120∘120^{\circ} and with a 10.0 cm10.0\,\text{cm}-radius pulley over an angle of 150∘150^{\circ}. Ignoring the straight sections, calculate the total length of belt that is in contact with the pulleys. Express your answer to two significant figures in centimetres.

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