Rizags
  • Rizags
Help with finding the area of the enclosed, curved quadrilateral.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Rizags
  • Rizags
1 Attachment
Rizags
  • Rizags
Not a quadrilateral, just a curved four sided thing in the middle
ybarrap
  • ybarrap
|dw:1449527843071:dw|

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Rizags
  • Rizags
yes. The actual goal is to find the overlapping areas where the circle portions overlap each other, but if i get the center area, I think i can calculate the rest.
ybarrap
  • ybarrap
Ok, so you want these areas? |dw:1449528016942:dw|
Rizags
  • Rizags
yes, preferably but whichever area is easier was my initial goal.
Rizags
  • Rizags
In other words, with the area of the center piece, i can get the areas of those overlaps
ybarrap
  • ybarrap
brb, let me try a few things
Rizags
  • Rizags
ok thanks
ybarrap
  • ybarrap
|dw:1449528799608:dw|
ybarrap
  • ybarrap
brb
Rizags
  • Rizags
i'm really sorry, shoulda clarified, it's a circle with one-fourth of its radius in the square. I didn't think that was relevant
Rizags
  • Rizags
but if i can treat it as an ellipse and get the same answer that should be fine actually
ybarrap
  • ybarrap
Subtract out area of triangle from area of sector to get the area of circular section inside: |dw:1449530698995:dw|
Rizags
  • Rizags
and then if i multiply that area by 4, I get an overcount
ybarrap
  • ybarrap
Check this out...
ybarrap
  • ybarrap
|dw:1449533727558:dw|
Rizags
  • Rizags
that would give the area of the outside portions whilst counting the overlap only once i think
ybarrap
  • ybarrap
Seems like there is an inconsistency with the problem. In order to have a side equal to 2 and a circle of radius 2, then the distance \(x\) needs to be 1.322 not 1: |dw:1449535226592:dw| |dw:1449535462949:dw|
Rizags
  • Rizags
would it be correct if 0.5 was one fourth of the diamter instead?
ybarrap
  • ybarrap
Still inconsistent: |dw:1449535868469:dw|
ybarrap
  • ybarrap
Are the sides really 2?
Rizags
  • Rizags
My prof is honestly a little weird. here's what i have accumulated thus far:|dw:1449536068242:dw|
ybarrap
  • ybarrap
So the side is sqrt(3) not 2?
Rizags
  • Rizags
Also |dw:1449536161493:dw|
Rizags
  • Rizags
well, the side has to be sqrt(3) times the radius of the circle, it must be. I'm going to disregard his silly measurements
ybarrap
  • ybarrap
Yes, that is the length of the chord you've drawn, but that's the problem you setup
Rizags
  • Rizags
if i let r=2 for his purposes, i'm still faced with the same issue
ybarrap
  • ybarrap
That IS the area of the triangle, though
ybarrap
  • ybarrap
I'm confused about what the problem is now
Rizags
  • Rizags
Same exact picture, I need to find the area of the little overlaps
Rizags
  • Rizags
I have the area of the sector portions ALONE, but i need another piece of information
ybarrap
  • ybarrap
ok
ybarrap
  • ybarrap
makes more sense now
ybarrap
  • ybarrap
|dw:1449537473730:dw|