In the following figure, the ratio of the areas of two sectors S₁ and S₂ is
(a)5 : 2
(b)3 : 5
(c)5 : 3
(d)4 : 5
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26
Answer:
The ratio of the areas of the two sectors S1 & S2 is 4 : 5 .
Among the given options option (d) 4 : 5 is the correct answer.
Step-by-step explanation:
Given :
Let Radius of a circle = r
θ1 = 120°
θ1 = 150°
Area of the sector ,S1 = θ1/360 × πr²
Area of the sector ,S2 = θ2/360 × πr²
Ratio of the areas of the two sectors S1 & S2 :
S1/ S2 = θ1/360 × πr²/ θ1/360 × πr²
S1/ S2 = θ1/θ2
S1/ S2 = 120°/150°
S1/ S2 = 12/15
S1/ S2 = ⅘
S1 : S2 = 4 : 5
Ratio of the areas of the two sectors = 4 : 5
Hence, the ratio of the areas of the two sectors S1 & S2 is 4 : 5 .
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Answered by
7
Hey !
______________________________
In the following figure, the ratio of the areas of two sectors S₁ and S₂ is
(a)5 : 2
(b)3 : 5
(c)5 : 3
(d)4 : 5
______________________________
Thanks !
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