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Mathematics 21 Online
OpenStudy (mokeira):

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OpenStudy (mokeira):

@rational @AkashdeepDeb

OpenStudy (mokeira):

please explain here

OpenStudy (mokeira):

OpenStudy (rational):

As a hardcore radian activist, the area of sector needs to be : \[\large \text{Area of a sector} = \frac{\theta}{2\pi }\times \pi r^2 \]

OpenStudy (rational):

plugin the given values, solve the unknown

OpenStudy (mokeira):

i thought it will be \[\frac{ \pi r^2 \Theta }{2 }\]

OpenStudy (mokeira):

OpenStudy (rational):

\(\pi\) cancels out but i prefer remembering it in terms of actual area of full circle instead of blindly memorize some other unrelated formula

OpenStudy (mokeira):

that makes more sense

OpenStudy (mokeira):

i agree

OpenStudy (rational):

\[\large \text{Area of a sector} = \frac{\theta}{2\pi }\times \pi r^2 \] Notice that \(\pi\) cances out and gives you the formula which you have attached earlier

OpenStudy (mokeira):

@AkashdeepDeb explain here,leave that other page ok...i will check out the videos...that page has just been spoiled by those people. but at least i have understood everything you have said

OpenStudy (mokeira):

the formula will be different mine will have on pi but your will have no pi

OpenStudy (rational):

you don't have pi either, check again

OpenStudy (mokeira):

ooh yeah lol....you are right!

OpenStudy (akashdeepdeb):

As I said before, radians = arc length / radius. So when arc length = radius. The angle covered is 1 radian. |dw:1408860401179:dw| Now, what is the arc length of the whole circle? Well, it is the circumference, isn't it? :D |dw:1408860465060:dw| So, we can bring out a simple relation. \[2 \pi ~~~radians = 360 ~~~degrees\] Getting this? :)

OpenStudy (mokeira):

i never saw it that way... nice!

OpenStudy (mokeira):

look at this one now...im posting it up in a sec

OpenStudy (mokeira):

OpenStudy (mokeira):

how do you know if you should find radians or degrees?

OpenStudy (akashdeepdeb):

Your choice. Finding radians is more (in-a-way) professional as degrees become obsolete after a while in higher grades.

OpenStudy (rational):

when I ask you : `whats your height ?`, how would u know that I am asking it in feet/cm/kilometer ?

OpenStudy (rational):

haha! its all same : 6 feet = 183cm = 0.00183 km it doesn't matter how you specify ur answer mathematically - but clearly feet/cm looks more appropriate here ?

OpenStudy (mokeira):

@rational i would answer in metres because it is the SI unit @AkashdeepDeb i found in degreed but it said i am wrong and was supposed to find in radians

OpenStudy (mokeira):

degree

OpenStudy (akashdeepdeb):

Exactly! Find it in radians from now!

OpenStudy (mokeira):

oooooh noooooooooooooo.... :(

OpenStudy (mokeira):

im scared of radians lol

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