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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.
Solution
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
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