Mathematics
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OpenStudy (gabbyalicorn):
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
10 years ago
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OpenStudy (anonymous):
\[Area~of~larger~circle-Area~of~smaller~circle\]
10 years ago
OpenStudy (anonymous):
find the area of both circles, then subtract the small circle form the big one
10 years ago
OpenStudy (gabbyalicorn):
oh i kinda maybe sorta get this 1 so
20.4 x 3.14
10.8 x 3.14 then u sutract the 2
10 years ago
OpenStudy (anonymous):
Do you remember the area of a circle formula? We've gone over it twice now
10 years ago
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OpenStudy (gabbyalicorn):
64.056 - 33.912
and yes A= π x r ^2
10 years ago
OpenStudy (anonymous):
And you know that \[\Large Radius=\large \frac{1}{2}Diameter\] right?
10 years ago
OpenStudy (gabbyalicorn):
√
10 years ago
OpenStudy (anonymous):
\[\sqrt{?}\]
10 years ago
OpenStudy (gabbyalicorn):
right!
10 years ago
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OpenStudy (gabbyalicorn):
√ = radius= 1/2 diameter
10 years ago
OpenStudy (anonymous):
\[\sqrt{}=\color{aqua}r\color{red}a\color{blue}d\color{green}i\color{yellow}u\color{brown}s?\]
10 years ago
OpenStudy (gabbyalicorn):
long story short i was saying right but witch a check mark ^u^
10 years ago
OpenStudy (anonymous):
Oh. I was wondering what sqrt's had to do with it.
10 years ago
OpenStudy (gabbyalicorn):
sorry, for the confusion
10 years ago
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OpenStudy (anonymous):
Anyways, the questions give us the diameters. We have to halve those to get the radius so that we can plug into the area of a circle equation.
10 years ago
OpenStudy (anonymous):
\[(\pi*\frac{20.4}{2}^{2})-(\pi*\frac{10.8}{2}^{2})\] is our overall equation for this problem.
10 years ago
OpenStudy (anonymous):
Divide before squaring though
10 years ago
OpenStudy (gabbyalicorn):
653.3712 - 183.1248 = 470.2469
10 years ago
OpenStudy (gabbyalicorn):
?
10 years ago
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OpenStudy (anonymous):
Divide BEFORE squaring. 20.4/2 = 10.2. 10.2^2=?
10 years ago
OpenStudy (gabbyalicorn):
aww man
10 years ago
OpenStudy (gabbyalicorn):
104.04
10 years ago
OpenStudy (anonymous):
104.04*pi=?
10 years ago
OpenStudy (gabbyalicorn):
326.6856
10 years ago
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OpenStudy (anonymous):
Now repeat the process for 10.8
10 years ago
OpenStudy (gabbyalicorn):
366.2496
10 years ago
OpenStudy (anonymous):
10.8/2=?
10 years ago
OpenStudy (gabbyalicorn):
oh 5.4
10 years ago
OpenStudy (anonymous):
5.4^2=?
10 years ago
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OpenStudy (gabbyalicorn):
29.16
10 years ago
OpenStudy (anonymous):
29.16*pi=?
10 years ago
OpenStudy (gabbyalicorn):
91.5624
10 years ago
OpenStudy (anonymous):
now subtract
10 years ago
OpenStudy (gabbyalicorn):
so 91.5624 - 29.16 = 62.4024
10 years ago
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OpenStudy (gabbyalicorn):
waot no!!!
10 years ago
OpenStudy (anonymous):
Come on man. Look at my very first reply in the thread
10 years ago
OpenStudy (gabbyalicorn):
I was wrong sorry
10 years ago
OpenStudy (gabbyalicorn):
91.5624 -366.2496
10 years ago
OpenStudy (anonymous):
326-91 bruh
10 years ago
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OpenStudy (gabbyalicorn):
oh :/ sorry. 235 C
10 years ago
OpenStudy (anonymous):
yeah that'd be it
10 years ago
OpenStudy (gabbyalicorn):
Thank you!
10 years ago
OpenStudy (anonymous):
No problem :)
10 years ago