Question

Due NOWW!!! Due right now

Answer 1

Answer:
`A=539\pi /16=105.8m^2`

Explanation:

Think of the white circle being on top of a larger shaded circle. You were given the diameter of this larger shaded circle. And, you were also secretly given the diameter of the inner white circle. If you find the area of the white circle, and subtract it from the area of the shaded circle, you will find the area of the shaded region.

Beginning with the area of the shaded circle. The diamater is 21 meters, while the radius is 21/2 meters. Therefore, the area is:

`A=\pi r^2`

`A=\pi (21/2)^2`

`A=441\pi /4`

Moving on to the white circle. The diameter would be 21 meters with 3.5 meters subtracted from it:

`d=21-3.5=17.5=35/2`

Therefore the radius is:

`r=(35/2)/2=35/4`

Which means the area would be:

`A=\pi r^2`

`A=\pi (35/4)^2`

`A=1225\pi /16`

Therefore the shaded region is:

`A=441\pi /4-1225\pi /16`

Get common denominators:

`A=1764\pi /16-1225\pi /16`

`A=539\pi /16`