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moongazer

  • 3 years ago

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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  1. moongazer
    • 3 years ago
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    http://s43.photobucket.com/albums/e364/bloome74/?action=view&current=Cow.png

  2. moongazer
    • 3 years ago
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    could you check my answer i got 4950pi ft^2

  3. moongazer
    • 3 years ago
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    Could you show your solutions if I got a wrong answer :)

  4. moongazer
    • 3 years ago
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    I used the formula of 1/4 of a circle :)

  5. Champs
    • 3 years ago
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    That's correct.

  6. moongazer
    • 3 years ago
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    Thanks! :)

  7. moongazer
    • 3 years ago
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    You computed for 4 areas right? then added it :)

  8. Champs
    • 3 years ago
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    Actually you should use area of a sector, where angle is Pi/4.

  9. Champs
    • 3 years ago
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    Sorry Pi/2..:P

  10. moongazer
    • 3 years ago
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    ohhh, so it is better to use the area of sector formula?

  11. moongazer
    • 3 years ago
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    I tried it and it is the same :)

  12. Champs
    • 3 years ago
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    Area of sector is ( Theta/2) x r^2. WHere theta is in radians.

  13. Champs
    • 3 years ago
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    Well done..:)

  14. ganeshie8
    • 3 years ago
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    http://www.wolframalpha.com/input/?i=pi%2F4%28100%5E2%2B40%5E2%2B50%5E2%2B30%5E2%29

  15. moongazer
    • 3 years ago
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    @ganeshie8 Thanks, I made an arithmetic error with the area with radius 40 :)

  16. ganeshie8
    • 3 years ago
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    okay :)

  17. moongazer
    • 3 years ago
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    @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 :)

  18. moongazer
    • 3 years ago
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    @ganeshie8

  19. ganeshie8
    • 3 years ago
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    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

  20. moongazer
    • 3 years ago
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    @Champs @ganeshie8 Thanks to both of you. :)

  21. ganeshie8
    • 3 years ago
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    yup ! good thinking !! yw :)

  22. Champs
    • 3 years ago
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    It is better to use area of sector otherwise you'd face problem when the angle is not =90 deg.

  23. Champs
    • 3 years ago
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    You are welcome.:)

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

  25. Kenneth05
    • 2 years ago
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    @Moongazer what is your answer for that problem? Thanks.

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