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.

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