Help with a couple of questions
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OpenStudy (anonymous):
OpenStudy (luigi0210):
Do you know what you are using for \(\pi \)?
OpenStudy (anonymous):
22/7
OpenStudy (anonymous):
that's what me teacher told me to use
OpenStudy (welshfella):
pi r^2 = 314 2/7
solve for r
take pi to be 3.14
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OpenStudy (welshfella):
oh sorry i dddddidnt see the 22/7
OpenStudy (anonymous):
it's ok
OpenStudy (luigi0210):
It's basically what @welshfella said, just plug it in like so:
\(\Large 314 \frac{2}{7} = \frac{22}{7} r^2 \)
OpenStudy (luigi0210):
So multiple both sides by the reciprocal of 22/7, what do you get?
OpenStudy (anonymous):
99.9090909091
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OpenStudy (luigi0210):
Try leaving it in fraction form, it'll be a bit easier
OpenStudy (anonymous):
100
OpenStudy (welshfella):
write 314 2/7 as an improper fraction then multiply by 7/22
314 2/7 =[ (7*314) + 2] / 7 = 2200 / 7
OpenStudy (luigi0210):
Yup, and yup, now you just have \(\Large 100=r^2\)
Now just find the square root.
OpenStudy (anonymous):
10
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OpenStudy (anonymous):
@Luigi0210 10
OpenStudy (luigi0210):
Yup, nice job!
Now you can just check it to be sure:
\(\Large A=\frac{22}{7}r^2 \)
\(\Large A= \frac{22}{7}(10)^2 \)
\(\Large A = \frac{2200}{7} \)
Which is indeed \(\Large 314 \frac{2}{7} \)
:)
OpenStudy (anonymous):
so 10 is the radius?
OpenStudy (anonymous):
10 is radius @Luigi0210
OpenStudy (luigi0210):
Yup!
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OpenStudy (anonymous):
can you help with another quest
OpenStudy (luigi0210):
Sure, go ahead
OpenStudy (anonymous):
OpenStudy (anonymous):
^
OpenStudy (luigi0210):
I think breaking it up into two different shapes might help. I see a semi-circle and a square at the bottom, do you follow?
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All you have to do is add the areas of the two shapes:
\(\Large A=s^2 \) (for the square)
\(\Large \frac{1}{2}A=3.14r^2 \) (for the semi-circle)
Just plug in numbers and add them together:
\(\Large A= 8^2 \) (square)
\(\Large \frac {1}{2}A=3.14 (4)^2 \)
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OpenStudy (anonymous):
A=64 (square)
1/2 A=50.2
OpenStudy (anonymous):
is the answer 114.2
OpenStudy (anonymous):
@Luigi0210
OpenStudy (welshfella):
yes looks good
OpenStudy (anonymous):
ok thanks
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OpenStudy (welshfella):
welcome
OpenStudy (anonymous):
can you help with this one?
OpenStudy (anonymous):
@welshfella @Luigi0210
OpenStudy (welshfella):
First find the radius by using the formula for the circumference:-
C = 2 pi r
then plug this value of r into the formula for the area
Area = pi r^2