Question

If he area of a sector of a circle is \[\frac{7}{20}\] of the area of the circle, then the sector angle is equal to 

Options

• 110° 

• 130°

• 100°

• 126°

Answer 1

We have given that area of the sector is `7/20` 

of the area of the circle.

Therefore, area of the sector =` 7/20xx` area of the circle 

`∴ θ/360xxpir^2=7/20xxpir^2`

Now we will simplify the equation as below, 

`θ/360=7/20`

Now we will multiply both sides of the equation by 360,

`∴ θ=7/20xx360`

Therefore, sector angle is `126°`