A circular badge of radius is to be painted on one side only

MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A circular badge of radius

10\,\text{cm}

is to be painted on one side only. The design requires the major segment corresponding to a

120^\circ

central angle to be painted blue and the rest to remain blank. Take

\pi=3.14

. (i) Calculate the area of the entire circular badge. (ii) Determine the area of the minor segment cut off by the

120^\circ

chord. (iii) Hence find, correct to two decimal places, the area that must be painted blue.