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- moongazer

A cow is tethered by a 100-ft rope to the inside corner of an L-shaped building, as show in the figure. Find the area that the cow can graze.
a=20, b=50, c=100, d=60, e=50

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- moongazer

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- moongazer

http://s43.photobucket.com/albums/e364/bloome74/?action=view¤t=Cow.png

- moongazer

could you check my answer i got 4950pi ft^2

- moongazer

Could you show your solutions if I got a wrong answer :)

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- moongazer

I used the formula of 1/4 of a circle :)

- anonymous

That's correct.

- moongazer

Thanks! :)

- moongazer

You computed for 4 areas right? then added it :)

- anonymous

Actually you should use area of a sector, where angle is Pi/4.

- anonymous

Sorry Pi/2..:P

- moongazer

ohhh, so it is better to use the area of sector formula?

- moongazer

I tried it and it is the same :)

- anonymous

Area of sector is ( Theta/2) x r^2. WHere theta is in radians.

- anonymous

Well done..:)

- ganeshie8

http://www.wolframalpha.com/input/?i=pi%2F4%28100%5E2%2B40%5E2%2B50%5E2%2B30%5E2%29

- moongazer

@ganeshie8 Thanks, I made an arithmetic error with the area with radius 40 :)

- ganeshie8

okay :)

- moongazer

@Champs Which do you think is the better thing to use (although the result will be the same) ? area of sector formula or area of 1/4 of a circle?
please explain :)

- moongazer

- ganeshie8

hmm i have used 1/4 of circle area as it looked obvious at first glance.
but as you said it is same thing as sector formula eh ?
in sector formula we multiply the area by a factor of : \(\frac{\pi/2}{2\pi} \) = 1/4
both sector formula and area of 1/4 of a circle give the same factor :P

- moongazer

@Champs @ganeshie8 Thanks to both of you. :)

- ganeshie8

yup ! good thinking !! yw :)

- anonymous

It is better to use area of sector otherwise you'd face problem when the angle is not =90 deg.

- anonymous

You are welcome.:)

- moongazer

@Champs oh. That makes sense. Thanks for the reminder I will remember that. :)
I'll also try to solve this with area of sector. :)

- anonymous

@Moongazer what is your answer for that problem? Thanks.

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