The area of the sector is a fraction of the area of the whole
disk. So, we need to find the area of the whole disk and then
multiply by the ratio of the sector size to the disk. The ratio is
2/3 pi out of a disk that is 2 pi all around (like any circle).
Twos cancel, "pi"s cancel, so the sector is 1/3 of the disk. The
disk's area is pi times (the radius squared). Pi times four. Well,
to avoid using irrational numbers, the disk's area is 4 pi. The
sector is 1/3 of 4 pi square feet, which is 4/3 pi square feet.