Question

What is the area of a sector with a central angle of 2π/9 radians and a radius of 16.7 ft?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer 1

97.30

Explanation:

I can confirm that this is the correct answer. :D

Answer 2

Area of the sector is 97.30 square feet.

Explanation:

The area of the sector is given by

`A=((\theta)/(2))r^2`

Plugging the known values in this formula to find the area of the sector

`A=((2\pi/9)/(2))(16.7)^2\\\\A=(2\pi)/(18)\cdot16.7^2`

Use the value of π as 3.14

`A=(2\cdot3.14)/(18)\cdot16.7^2`

Simplifying, we get

`A=97.3016`

Rounded to the nearest hundredth, we get

`A=97.30`