Q. 544.1( 7 Votes )

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 angle150°? Also, calculate the ratio of the areas of the three sectors.

Answer :

θ1 = 90° θ2 = 120°, θ3 = 150°


Radius of circle = r = 6 cm



Area of circle = πR2


Area of circle = π×62


Area of circle = 36π eqn2







Also, Area of sector (θ3) = 15π cm2




Area of sector (θ2) = 12π cm2 eqn3




Area of sector (θ1) = 9π cm2 eqn4


Ratio of three sectors 9π:12π:15π


Ratio of three sectors 3:4:5



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