Question

A circular disc of radius 6 cm is divided into three sectors with central angles 90°,120° and 150°. What part of the whole circle is the sector with central angle 150°? Also, calculate the ratio of the areas of the three sectors.

Answer 1

Area of sector having central angle 150° `=150^circ/360^circ(6)^2= 5/12xx"Area of circular disc"`

Now, Area of sector  having central angle 90° : Area of sector having central angle 120° : Area of sector having central angle 150°

`= 90^circ/360^circ pi (6)^2 : 120^circ/360^circ(6)^2: 150/360pi(6)^2`

`= 1/4 : 1/3 : 5/12`

=   3  :    4  :  5