Question

P URGENT I've got a timer going on but really need your help to answer this thank you!!

Answer 1

Given:

The radius of inner circle = 13 yd.

The width of the shaded region = 8 yd

To find the area of the shaded region.

Now,

The radius of the outer circle = 13+8 yd = 21 yd

Formula

The area of a circle of radius r unit is
`\pi r^(2)` sq unit.

`A = A_(1)-A_(2)`

where,
`A` = The area of the shaded region

`A_(1)` = Area of the outer region

`A_(2)`= Area of the inner region

Now,

`A_(1)`
`=`
`\pi (21^(2))`

`A_(1) = (3.14)(21)(21)`

`A_(1)`
`= 1384.74` sq yd

And,

`A_(2)`
`=`
`\pi (13^(2))`

`A_(2) = (3.14)(13)(13)`

`A_(2)`
`= 530.66` sq yd

Therefore,

`A = 1384.74-530.66` sq yd

`A = 854.08` sq yd

Hence,

The area of the shaded region 854.08 sq yd.