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Mathematics 12 Online
OpenStudy (anonymous):

How do you find the answer?? Need explaining please

OpenStudy (anonymous):

I have multiple questions like this so if someone can explain how to find this one, that should help with the rest. Thanks : )

OpenStudy (jdoe0001):

\(\bf \textit{Sector of a Circle Area}=\cfrac{\theta \pi r^2}{360} \)

OpenStudy (jdoe0001):

you have the angle, and the radius, just plug them in

OpenStudy (anonymous):

Would that be 7,536/360 then?

OpenStudy (anonymous):

Which equals = 20.93

OpenStudy (jdoe0001):

well, I got 29.30 which is what I think you meant :)

OpenStudy (jdoe0001):

\(\bf \cfrac{210\cdot 3.14\cdot 210}{360}\)

OpenStudy (jdoe0001):

hmm...

OpenStudy (jdoe0001):

\(\bf \cfrac{210\cdot 3.14\cdot 4^2}{360}\) rather

OpenStudy (anonymous):

Where does the 210 come from?

OpenStudy (anonymous):

Sorry, I don't think we've gotten this far yet in class

OpenStudy (jdoe0001):

the non-shaded Area has an angle of 150 degrees the shaded Area will be 360 - 150

OpenStudy (anonymous):

Oh okay, I see

OpenStudy (jdoe0001):

you seem to have done the non-shaded area, correctly btw but you're asked only for the shaded area :)

OpenStudy (anonymous):

I got 20.93 as well, rounded it and that's one of the answer choices. : )

OpenStudy (jdoe0001):

yes, heheh, but not the shaded one =)

OpenStudy (anonymous):

This is the other question similar to this one. I'm going to see if I can do it

OpenStudy (anonymous):

360 - 150 = 210 So 210 X 3.14 X 36 (radius squared) = 23,738.4 Divide by 360 and I got... 65.94 It's one of the answer choices. Is that right?

OpenStudy (jdoe0001):

same thing, different "r"

OpenStudy (jdoe0001):

yeap

OpenStudy (jdoe0001):

\(\bf \cfrac{210\cdot 3.14\cdot 36}{360}=65.94\)

OpenStudy (anonymous):

YESSSSSS :DD Thank you I also need to know how to find this: Last one, sorry.

OpenStudy (jdoe0001):

do you know what the Area of a Circle is? equation wise that is

OpenStudy (jdoe0001):

http://wme.cs.kent.edu/kimpton/img/cirarea.gif

OpenStudy (anonymous):

Pi r squared?

OpenStudy (anonymous):

Yeah

OpenStudy (jdoe0001):

so we know the Area of this circle is \(144\pi\ cm^2\) so what's the radius? we dunno but we know that \(\bf \textit{Area of a Circle}=\pi r^2\\ \quad \\ 144\pi=\pi r^2\implies \sqrt{\cfrac{144\pi}{\pi}}=r\) now that have gotten the radius of the circle, use that in the Sector of Circle Area equation, just like before

OpenStudy (anonymous):

@jdoe0001 I got 25.12

OpenStudy (jdoe0001):

hmm sorry I was caught up a bit....

OpenStudy (jdoe0001):

\(\bf \sqrt{\cfrac{144\pi}{\pi}}=r\implies \sqrt{144}=r\implies 12=r\qquad thus\ \quad \\ \cfrac{12^2\cdot 3.14\cdot 120}{360}\)

OpenStudy (anonymous):

That's okay..So we square the radius again? 144 x pi x 120 I thought we just used 12 So what I did was subtracted 120 from 360 = 240 So I did the radius 12 X 3.14 X 240 and divided the answer by 360 and I got 25.12

OpenStudy (jdoe0001):

\(\bf \textit{Sector of a Circle Area}=\cfrac{\theta \pi \color{red}{r^2}}{360}\)

OpenStudy (anonymous):

I was just using the method from earlier on the other questions

OpenStudy (anonymous):

Ohh I see now!

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