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° 

Answer 1

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°`