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’ = πr²θ/360°.

Given, r = 15in and θ = 40°

Area of the sector = πr². θ/360°

= (π × 15² × 40°)/360°

= 78.54 in²

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.