The two sectors of a circle have the central angles as 120⁰ and 150⁰ respectively. Find the ratio between the areas of the two sectors.​

Area of sector with angle 120 = 120/360 x pi x r²
​= 1/3 x pi xr2
Area of sector with angle 150 = 150/360​x pi xr²
= 5/12​x pi xr²
Ratio of areas of the two sectors=
= (1/3 x pi xr²) / (5/12​x pi xr²)
= (1/3 x pi xr²) / (5/12​x pi xr²)
= (1/3) / (5/12)
= 12/ (5 x 3)
= 4/5 (dividing the numerator and denominator both by 3)
= 4:5

Ans = ratio is 4:5