-Welp-
  • -Welp-
Is this correct? "the area of sector AOC is 20.25pi ft^. Find the area of the shaded part of the segment.
Mathematics
schrodinger
  • schrodinger
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-Welp-
  • -Welp-
|dw:1438569953793:dw| Area of Segment = ½ × (θ - sin θ) × r2 1/2 * (90-sin(90)*9^2=4.5 20.25 - 4.5=15.75
jim_thompson5910
  • jim_thompson5910
You mentioned point C when you said AOC but I don't see a point C on the drawing
-Welp-
  • -Welp-
I meant to put C instead of B in the drawing

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jim_thompson5910
  • jim_thompson5910
Ok so what you need to do is find the area of the triangle, then subtract that from the area of the sector Shaded region = (area of sector) - (area of triangle)
-Welp-
  • -Welp-
How do I find the triangle? I've only been given one side and no angles.
jim_thompson5910
  • jim_thompson5910
the two legs of the right triangle are congruent because all radii of the same circle are congruent |dw:1438570809227:dw|
-Welp-
  • -Welp-
Oh, thanks!
jim_thompson5910
  • jim_thompson5910
no problem
jim_thompson5910
  • jim_thompson5910
btw your formula would work only if theta is in radians as explained here http://mathworld.wolfram.com/CircularSegment.html

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