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anonymous

  • one year ago

Find the area of the shaded region to the nearest tenth.

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  1. anonymous
    • one year ago
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  2. calculusxy
    • one year ago
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    you need to find two things: area of the circle : \[\large A = \pi r^2\] area of square \[\large A= s^2\] s = side length

  3. calculusxy
    • one year ago
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    so once you find them, tell me what you get and we will proceed

  4. anonymous
    • one year ago
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    Area of square=64 ? im not so sure about the circle

  5. calculusxy
    • one year ago
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    \[\large A = \pi r^2\] r = radius (or half of the diameter, which in this case is 8) to find the radius you need to do 8 / 2 = ___ and then take the radius and put it into the equation.

  6. anonymous
    • one year ago
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    50.24?

  7. calculusxy
    • one year ago
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    okay that works.

  8. calculusxy
    • one year ago
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    now since the circle is inside of the square we need to subtract the area of the circle from the area of the square to find the area of the shaded space.

  9. calculusxy
    • one year ago
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    |dw:1443025793580:dw|

  10. anonymous
    • one year ago
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    so, i would subtract 50.24 from 8?

  11. calculusxy
    • one year ago
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    not exactly. remember the area of the square of 8? well you need to subtract 64 - 50.24 = ___ *(8 is only the diameter of the circle and the side length of the square)

  12. anonymous
    • one year ago
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    oh, forgot about that but that would be 13.76

  13. calculusxy
    • one year ago
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    yes now round that to the nearest tenth (like it said in the question)

  14. anonymous
    • one year ago
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    thanks! appreciate it.

  15. calculusxy
    • one year ago
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    You're welcome :)

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