Question

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

Answer 1

Answer:

Area of the sector is 97.30 square feet.

Step-by-step explanation:

The area of the sector is given by

$A=(\frac{\theta}{2})r^2$

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

$A=(\frac{2\pi/9}{2})(16.7)^2\\\\A=\frac{2\pi}{18}\cdot16.7^2$

Use the value of π as 3.14

$A=\frac{2\cdot3.14}{18}\cdot16.7^2$

Simplifying, we get

$A=97.3016$

Rounded to the nearest hundredth, we get

$A=97.30$

Answer 2

Answer:

97.30

Step-by-step explanation:

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