Question

Why is this the answer? PLEASE HELP

Answer 1

`A = (512 \pi)/(3)~ft^2`

Explanation:

area of sector, A:

`A = (n)/(360^\circ)\pi r^2`

n = measure of the central angle of the sector in degrees

r = radius of circle

Here we have n = 240°, and r = 16 ft.

`A = (240^\circ)/(360^\circ)\pi * (16~ft)^2`

`A = (2)/(3)\pi * 256~ft^2`

`A = (512 \pi)/(3)~ft^2`