# 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

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