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anonymous

  • one year ago

**please help!!** medals rewarded! What is the area of the sector in the circle shown below?

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  1. anonymous
    • one year ago
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  2. jdoe0001
    • one year ago
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    \(\textit{sector of a circle}=\cfrac{\theta \pi r^2}{360}\qquad \begin{cases} r\to radius\\ \theta\to \textit{angle, in degrees} \end{cases}\)

  3. anonymous
    • one year ago
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    can you help me break this down? @jdoe0001

  4. jdoe0001
    • one year ago
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    hmmm well.. check what your "radius" is and check your angle then just plug and chug

  5. anonymous
    • one year ago
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    I got 3749.38?

  6. anonymous
    • one year ago
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    @jdoe0001

  7. jdoe0001
    • one year ago
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    hmmm need to check your PEMDAS notice, \(\textit{sector of a circle}=\cfrac{\theta \pi r^2}{360}\qquad \begin{cases} r\to radius\to &10\\ \theta\to \textit{angle, in degrees}\to &37 \end{cases} \\ \quad \\ \cfrac{37\cdot \pi \cdot 10^2}{360}\implies ?\)

  8. anonymous
    • one year ago
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    32.27?

  9. jdoe0001
    • one year ago
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    yes

  10. jdoe0001
    • one year ago
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    \(32.27 in^2\) that is

  11. anonymous
    • one year ago
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    thanks! could you help me with another? @jdoe0001 An angle measure of 82 degrees is equivalent to ____ radians. Round your answer to the nearest hundredth when necessary.

  12. jdoe0001
    • one year ago
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    ok.. well.. how many say.... degrees in \(\pi\) radians?

  13. anonymous
    • one year ago
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    3.14?

  14. anonymous
    • one year ago
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    I have no idea, Im really bad at math

  15. jdoe0001
    • one year ago
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    \(\large \pi = 3.14^o?\)

  16. anonymous
    • one year ago
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    yes?

  17. anonymous
    • one year ago
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    @jdoe0001

  18. jdoe0001
    • one year ago
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    |dw:1440719540872:dw|

  19. anonymous
    • one year ago
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    would it be 82/3.14? im so confused

  20. jdoe0001
    • one year ago
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    hmmm nope... well. check your Unit Circle, see how many degrees are in a \(\large \pi\) firstly

  21. anonymous
    • one year ago
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    180?

  22. jdoe0001
    • one year ago
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    http://www.shelovesmath.com/wp-content/uploads/2012/11/Unit-Circle1.png <--- notice this Unit Circle so... hmm yes 180

  23. anonymous
    • one year ago
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    ok

  24. jdoe0001
    • one year ago
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    \(\begin{array}{ccllll} degrees&radians \\\hline\\ 180&\pi \\ 82&x \end{array}\implies \cfrac{180}{82}=\cfrac{\pi }{x}\implies x=\cfrac{82\cdot \pi }{180}\)

  25. jdoe0001
    • one year ago
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    anyhow, "x" is how many degrees are in 82 :)

  26. jdoe0001
    • one year ago
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    or rather, how many radians are in 82 degrees

  27. anonymous
    • one year ago
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    1.43116999 radians?

  28. anonymous
    • one year ago
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    is that the answer?

  29. anonymous
    • one year ago
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    @jdoe0001

  30. jdoe0001
    • one year ago
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    yeap

  31. jdoe0001
    • one year ago
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    if I recall correctly, 1 radian is about 51 degrees so 82 is about 1.4, sure

  32. anonymous
    • one year ago
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    thanks!

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