Question

If the area of a sector is 5/18 of the area of the circle, find the angle subtended by
the sector at the center.

Answer 1

Answer: Given Area of Sector= 5/18 area of circle                                                    We know that, Area of sector = ∅/360 x π r2

∅/360 x π r2 = 5/18 x π r2

∅/360 = 5/18

∅ = 5 x 360/ 18 = 5 x 20 = 100 Dergree

∅ = 100 degree

Therefore, The angle subtended by the sector is  = 100 degree

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Answer 2

Answer:

Hello, Friend

Step-by-step

Area of a sector=(∅/360)×πr²

area of circle=πr²

So, as per the question

(∅/360)×πr²=(5/18)πr²

cancel πr² on both sides

∴(∅/360)=(5/18)

by cross multiplication we get

∅×18=5×360

18×∅=1800

∅=1800/18=100°

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