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Mathematics 14 Online
OpenStudy (anonymous):

The diameter of the larger circle is 20.4 cm. The diameter of the smaller circle is 10.8 cm. What is the approximate area of the shaded region? A. 326.7 cm² B. 289.4 cm² C. 235.1 cm² D. 72.3 cm² http://static.k12.com/calms_media/media/1419000_1419500/1419371/1/c4e26a94203d8ae90d1065d72cde797bf3ba1a4c/MS_PA_130922_171142.jpg

OpenStudy (anonymous):

@iGreen

OpenStudy (igreen):

Subtract the diameters. 20.4 - 10.8 = ?

OpenStudy (igreen):

Then divide by 2 to find the radius..

TheSmartOne (thesmartone):

First we need to calculate the area of the larger circle, and then the area of the smaller circle. And then if we subtract them, we can find the area of the shaded area.

OpenStudy (anonymous):

9.6

OpenStudy (igreen):

Yes, now divide by 2.

OpenStudy (igreen):

@TheSmartOne That's the harder way :P

OpenStudy (anonymous):

4.8

OpenStudy (igreen):

Yes, now plug it into: \(A = \pi r^2\)

OpenStudy (anonymous):

72.3456

OpenStudy (igreen):

My bad..lol.

OpenStudy (igreen):

@TheSmartOne is correct.

TheSmartOne (thesmartone):

:P xDD

OpenStudy (igreen):

It's not a circle..so it doesn't have a radius xD

OpenStudy (anonymous):

oops

OpenStudy (igreen):

\(A = \pi r^2\) 20.4 / 2 = 10.2 Plug it in for the radius

TheSmartOne (thesmartone):

First find the radius of the 2 circles The diameter of the larger circle is 20.4 cm. The diameter of the smaller circle is 10.8 cm. Divide those two values by 2 first.

OpenStudy (igreen):

\((3.14)(10.2^2) - (3.14)(5.4^2)\)

OpenStudy (anonymous):

10.8=326.6859 20.4=91.5624

OpenStudy (igreen):

Correct.

OpenStudy (igreen):

Now subtract them.

TheSmartOne (thesmartone):

And basically your answer will be \(\sf\Large \pi (\frac{20.4}{2})^2- \pi(\frac{10.8}{2})^2\)

OpenStudy (igreen):

326.6859 - 91.5624 = ?

OpenStudy (anonymous):

235.1235

OpenStudy (igreen):

Correct

TheSmartOne (thesmartone):

Correct :) Now just round it :)

OpenStudy (anonymous):

C!

TheSmartOne (thesmartone):

Correct :)

OpenStudy (anonymous):

Thanks guys!

TheSmartOne (thesmartone):

Any time :)

OpenStudy (igreen):

No problem, Happy to Help \(\Huge\ddot\smile\)

JoelTheBoss (joel_the_boss):

Pshhh, I knew that....

OpenStudy (igreen):

Lol

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