Which of the following could be used to calculate the area of the sector in the circle shown above?
π(10in)237 over 360
π(10in)37 over 360
π(37in)210 over 360
π(37in)10 over 360
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
None of these answer choices are correct. Is there something missing from one of them?
OpenStudy (anonymous):
ohhh they are missing the ^2
jimthompson5910 (jim_thompson5910):
on which ones?
OpenStudy (anonymous):
all of them
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OpenStudy (anonymous):
is (10in)^2 on all of them
jimthompson5910 (jim_thompson5910):
how is the ^2 written? over the 37?
jimthompson5910 (jim_thompson5910):
oh ok
jimthompson5910 (jim_thompson5910):
what is the area of the entire circle? use this formula
A = pi*r^2
OpenStudy (anonymous):
985.96?
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jimthompson5910 (jim_thompson5910):
if r = 10, then r^2 = ??
OpenStudy (anonymous):
ohh wait my math was wrong. i didnt follow pemdas
OpenStudy (anonymous):
314 (putting pi as 3.14)
jimthompson5910 (jim_thompson5910):
don't replace pi with 3.14, leave pi as it is
OpenStudy (anonymous):
ahhhh ok hold on
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OpenStudy (anonymous):
314.159..
jimthompson5910 (jim_thompson5910):
no it would just be 100pi
jimthompson5910 (jim_thompson5910):
think of pi as a variable
OpenStudy (anonymous):
oh ok
jimthompson5910 (jim_thompson5910):
now apparently, they didn't square the 10 to get 100
they left it as 10^2
so we'll have (10)^2*pi as part of the answer
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jimthompson5910 (jim_thompson5910):
or pi*(10)^2
jimthompson5910 (jim_thompson5910):
`pi*(10)^2` is the area of the WHOLE circle
we just want that pizza slice
to get the area of that slice, we multiply by 37/360