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Mathematics 17 Online
OpenStudy (anonymous):

Help with a couple of questions ASAP Medal+Fan+Recommendation

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

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

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

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!

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?

OpenStudy (anonymous):

no clue bro never had done this in my life

OpenStudy (anonymous):

i can skip this question it is extra credit

OpenStudy (luigi0210):

It's simple once you see what I mean, do you see the two shapes now? http://prntscr.com/9dcm55

OpenStudy (anonymous):

yes

OpenStudy (luigi0210):

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) \(\Large \frac {1}{2}A=3.14 (4)^2 \)

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

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

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