anonymous
  • anonymous
The archway depicted needs to be painted. What is the area of the archway?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
what is the area of the triangle?
anonymous
  • anonymous
@jim_thompson5910 8?

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jim_thompson5910
  • jim_thompson5910
correct
jim_thompson5910
  • jim_thompson5910
what is the area of the whole circle? Imagine a full circle is swept out by the radius of 4
anonymous
  • anonymous
50.27? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
now divide that by 4 since the 90 degree arc measure means we have 90/360 = 1/4 of a circle
jim_thompson5910
  • jim_thompson5910
so the pie shaped piece is roughly 50.27/4 = 12.5675 in area the exact area is (16pi)/4 = 4pi
jim_thompson5910
  • jim_thompson5910
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jim_thompson5910
  • jim_thompson5910
|dw:1433032387851:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1433032439542:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1433032455010:dw|
jim_thompson5910
  • jim_thompson5910
I realize now that it's not a real semicircle, but it might help to think of it as one
jim_thompson5910
  • jim_thompson5910
anyways, the last thing you need to do is find the area of the rectangle, then subtract off the area of the "semicircle"
anonymous
  • anonymous
so is the answer 4? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
I'm getting 16.55-4pi if you type that into a calculator, you get 16.55-4pi = 3.98362938564082
anonymous
  • anonymous
Thank you!! I appreciate it so much :) @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
np

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