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
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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
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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
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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
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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.
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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
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TheSmartOne (thesmartone):
Correct :) Now just round it :)
OpenStudy (anonymous):
C!
TheSmartOne (thesmartone):
Correct :)
OpenStudy (anonymous):
Thanks guys!
TheSmartOne (thesmartone):
Any time :)
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