Question

A ring-shaped region is shown below.

Its inner diameter is 16 ft. The width of the ring is 2 ft.
it
16 ft
Find the area of the shaded region.
Use 3.14 for . Do not round your answer.
X5?

Answer 1

Area = 213.52 sq.ft

Explanation:

`A_(s) =\pi (18)^(2) -\pi (16)^(2) =324\pi -256\pi =68\pi`

`\pi =3.14`

`A_(s) =68(3.14)=213.52sq.ft`

Hope this helps

Answer 2

113.04 ft²

Explanation:

The area of the ring can be found by multiplying its center-line length by its width.

__

The diameter of the circle that is the center-line of the ring is ...

16 ft + 2 ft = 18 ft . . . . center-line diameter

The length of the center-line is then ...

C = πd

C = 3.14(18 ft) = 56.52 ft

And the area of the ring is ...

A = LW = (56.52 ft)(2 ft) = 113.04 ft²

The shaded area is 113.04 square feet.