A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
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OpenStudy (igreen):
OpenStudy (igreen):
Okay, so first I find the area, which I got as 225π.
Now the slice is a portion of a total 360 degrees..which I can write as \(\sf \dfrac{48}{360}\).
Now I multiply that to 225π:
\(\sf 225 \pi \times \dfrac{48}{360} \rightarrow 706.858347 \times 0.133333333 \approx 94.25\)
OpenStudy (igreen):
Correct..?
hartnn (hartnn):
absolutely correct :)
hartnn (hartnn):
ou're essentially finding area of sector
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hartnn (hartnn):
*you're
OpenStudy (igreen):
Hmm..but that doesn't seem to be one of my options..the closest one is 91.98..
hartnn (hartnn):
Area of sector :
\(\Large \dfrac{\theta }{360}\pi r^2 \)
hartnn (hartnn):
theta = 42
r =15
OpenStudy (anonymous):
What are the choices?
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hartnn (hartnn):
you still get 94 with that ?
if so its correct
OpenStudy (igreen):
78.13 ft2
82.43 ft2
86.31 ft2
91.98 ft2
OpenStudy (anonymous):
Wait a sec, it's 42 bloody degrees haha
hartnn (hartnn):
you used 48
instead of 42
thats why!
OpenStudy (igreen):
LOL
I'm so stupid..
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OpenStudy (igreen):
Now I get 82.47..
OpenStudy (igreen):
Which is closest to 82.43..I'm going with that.. lol