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

P URGENT I've got a timer going on but really need your help to answer this thank-example-1

1 Answer

1 vote

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.

User Jason Hu
by
7.8k points

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