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anonymous

  • one year ago

Find the area of the sector shown

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  1. anonymous
    • one year ago
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    |dw:1436238473382:dw|

  2. Vocaloid
    • one year ago
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    well, we know that an entire circle is 360 degrees, and the sector we have is 80 degrees therefore, the area of the sector is (80/360) of the entire circle we multiply (80/360) times the area of the circle, where area = pi*r^2 putting it all together: area of sector = (80/360)*(pi)(r^2)

  3. anonymous
    • one year ago
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    i put the formula as (1/2) (8^2) (80) (pi/180)

  4. Vocaloid
    • one year ago
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    yeah, that works too. it should give you the same result in the end

  5. anonymous
    • one year ago
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    well i got 44.68 is that correct

  6. Vocaloid
    • one year ago
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    yeah that's right, good job

  7. anonymous
    • one year ago
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    are you sure that's correct because i checked the answer and it's supposed to be 35.45

  8. anonymous
    • one year ago
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    so i was confused

  9. anonymous
    • one year ago
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    @jdbruso

  10. Vocaloid
    • one year ago
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    @UsukiDoll I'm pretty sure I'm right, please check my work?

  11. anonymous
    • one year ago
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    i think so too but idk why it has a different answer

  12. UsukiDoll
    • one year ago
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    are we finding a semi-circle, quarter circle, or any sector (which is a fractional part of the area)?

  13. anonymous
    • one year ago
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    any sector

  14. UsukiDoll
    • one year ago
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    alright so the formula for the area for circle is \[A= \pi r^2 \] But for any sector we either use the formula \[A= \frac{n}{360} \pi r^2 \] which is n is the number of degrees in the central angle of the sector or \[A= \frac{C_s}{2 \pi r} \pi r^2 \] where C_s is the length of the sector

  15. UsukiDoll
    • one year ago
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    |dw:1436239304856:dw| so you're given 80 degrees.. that's your n and you have a radius of 8

  16. anonymous
    • one year ago
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    i got the same answer with both those formulas

  17. anonymous
    • one year ago
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    im guessing that the book just has it wrong then

  18. UsukiDoll
    • one year ago
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    \[A= \frac{80}{360} \pi (8)^2\] \[A= \frac{2}{9} \pi( 64)\]

  19. UsukiDoll
    • one year ago
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    your book is wrong.

  20. UsukiDoll
    • one year ago
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    I also have the same answer as @Vocaloid

  21. anonymous
    • one year ago
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    yeah same here

  22. anonymous
    • one year ago
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    thank you!

  23. UsukiDoll
    • one year ago
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    \[A= \frac{2}{9} \pi( 64) \] \[A= \frac{128}{9} \pi \] \[A= 14.222222222222222\pi \] \[A=44.68 \]

  24. anonymous
    • one year ago
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    yeah you're right we all go the same answer

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