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anonymous

  • one year ago

The archway depicted needs to be painted. What is the area of the archway?

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  1. anonymous
    • one year ago
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  2. jim_thompson5910
    • one year ago
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    what is the area of the triangle?

  3. anonymous
    • one year ago
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    @jim_thompson5910 8?

  4. jim_thompson5910
    • one year ago
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    correct

  5. jim_thompson5910
    • one year ago
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    what is the area of the whole circle? Imagine a full circle is swept out by the radius of 4

  6. anonymous
    • one year ago
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    50.27? @jim_thompson5910

  7. jim_thompson5910
    • one year ago
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    now divide that by 4 since the 90 degree arc measure means we have 90/360 = 1/4 of a circle

  8. jim_thompson5910
    • one year ago
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    so the pie shaped piece is roughly 50.27/4 = 12.5675 in area the exact area is (16pi)/4 = 4pi

  9. jim_thompson5910
    • one year ago
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    |dw:1433032324140:dw|

  10. jim_thompson5910
    • one year ago
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    |dw:1433032387851:dw|

  11. jim_thompson5910
    • one year ago
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    |dw:1433032439542:dw|

  12. jim_thompson5910
    • one year ago
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    |dw:1433032455010:dw|

  13. jim_thompson5910
    • one year ago
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    I realize now that it's not a real semicircle, but it might help to think of it as one

  14. jim_thompson5910
    • one year ago
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    anyways, the last thing you need to do is find the area of the rectangle, then subtract off the area of the "semicircle"

  15. anonymous
    • one year ago
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    so is the answer 4? @jim_thompson5910

  16. jim_thompson5910
    • one year ago
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    I'm getting 16.55-4pi if you type that into a calculator, you get 16.55-4pi = 3.98362938564082

  17. anonymous
    • one year ago
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    Thank you!! I appreciate it so much :) @jim_thompson5910

  18. jim_thompson5910
    • one year ago
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    np

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