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Select the correct option from the given alternatives : A semicircle is divided into two sectors whose angles are in the ratio 4:5. Find the ratio of their areas? - Mathematics and Statistics

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Question

Select the correct option from the given alternatives :

A semicircle is divided into two sectors whose angles are in the ratio 4:5. Find the ratio of their areas?

Options

  • 5:1

  • 4:5

  • 5:4

  • 3:4

MCQ

Solution

4:5

Explanation:

`θ_1/θ_2 = 4/5`

`"A"_1/"A"_2 = (1/2 "r"^2 θ_1)/(1/2 "r"^2 θ_2)`

`"A"_1/"A"_2 = 4/5`

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Area of a Sector of a Circle
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Chapter 1: Angle and its Measurement - MISCELLANEOUS EXERCISE - 1 [Page 12]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 1 Angle and its Measurement
MISCELLANEOUS EXERCISE - 1 | Q I. 8) | Page 12
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