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# Which of the following could be used to calculate the area of the sector in the circle shown above?

π(15in) 40 over 360

π(40in)^{2} 15 over 360

π(15in)^{2} 40 over 360

π(40in) 15 over 360

**Solution:**

We have an area of the sector with a central angle ‘θ’ and radius ‘r’ = πr^{2}θ/360°.

Given, r = 15in and θ = 40°

Area of the sector = πr^{2}. θ/360°

= (π × 15^{2 }× 40°)/360°

= 78.54 in^{2}

Therefore, the area of the sector in the circle shown is π(15in)^{2} 40 over 360°.

## Which of the following could be used to calculate the area of the sector in the circle shown above?

**Summary:**

To calculate the area of the sector in the circle shown, π(15in)^{2} 40 over 360° can be used.

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