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Question
If the area of a sector of a circle is `5/18` of the area of the circle, then the sector angle is equal to
Options
60°
90°
100°
120°
Solution
We have given that area of the sector is `5/18`of the area of the circle.
Therefore, area of the sector =`5/18xx` area of the circle
`∴ θ/360xxpir^2=5/18xxpir^2`
Now we will simplify the equation as below,
`θ/360=5/18`
Now we will multiply both sides of the equation by 360,
`∴ θ=5/18xx360`
`∴ θ=100`
Therefore, sector angle is `100°`
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