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anonymous

  • 5 years ago

How would you find the area of the shaded regions in these two pictures

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  1. anonymous
    • 5 years ago
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  2. anonymous
    • 5 years ago
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    First one is \[\pi r ^{2}\] Second one is \[sr \theta\] Change your theta to radians for the second one.

  3. anonymous
    • 5 years ago
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    so the first on would be 70.84 in^2?

  4. anonymous
    • 5 years ago
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    The equation for the first one should look like \[\pi(4.75)^{2}\]

  5. anonymous
    • 5 years ago
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    So sqaure 4.75 and then multiply it by \[\pi\]

  6. anonymous
    • 5 years ago
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    okay that makes since for the first one

  7. anonymous
    • 5 years ago
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    on the second one im still not sure what you ment

  8. anonymous
    • 5 years ago
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    Ah sorry I wrote that wrong it is \[S = r \theta\] This means the area of the shaded region is equal to the radius multiplied by the angle. Change the angle to radians by multiplying it by \[\pi/180\]

  9. anonymous
    • 5 years ago
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    so pi/180=.0174

  10. anonymous
    • 5 years ago
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    What math are you in?

  11. anonymous
    • 5 years ago
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    geometry

  12. anonymous
    • 5 years ago
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    Ah no wonder. Lol. I'm trying to make you use trig methods. Here, Multiply the 80 or whatever that is on the outside of that shaded region by \[\pi/180\] Then you simply that to get \[8\pi/18\] Which can be simplified further to \[4\pi/9\] Now you multiply, I beliebe it says 8.9?, by that using 3.14 for pi. Itd look like this \[8.9(4\pi/9)\]

  13. anonymous
    • 5 years ago
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    And your answer would be 12.42 in^2

  14. anonymous
    • 5 years ago
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    okay.. thank you

  15. anonymous
    • 5 years ago
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    Sorry if that's confusing :S It's trigonometry.

  16. anonymous
    • 5 years ago
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    ios okay

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