anonymous
  • anonymous
Refer to the figure ----> Find the area of the shaded region.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1332295206316:dw|
anonymous
  • anonymous
area of the sector is A(s) = pi*12^2*75/360 area of the triangle is A(t) = 12^2*(sin75)/2 area of shaded is A(s)-A(t)
anonymous
  • anonymous
this is confusing :/

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More answers

anonymous
  • anonymous
dpalnc ....how did you arrive at your triangle area...I have something different.
anonymous
  • anonymous
The procedure is correct.
anonymous
  • anonymous
sector minus the triangle is the correct approach.
anonymous
  • anonymous
area of the sector is correct.
anonymous
  • anonymous
i dont understand the area of a sector set up that you wrote
anonymous
  • anonymous
|dw:1332296562557:dw|
anonymous
  • anonymous
you are taking part of a circle for the sector.
anonymous
  • anonymous
|dw:1332296659908:dw|
anonymous
  • anonymous
now you have to subtract the triangle to get what is left.
anonymous
  • anonymous
you will need to use law of sines to find the missing sides and angles, then take one half base times height, or use Heron's Formula.
anonymous
  • anonymous
is it 75/360 * area (the other part i cant tell what it is)
anonymous
  • anonymous
for the 75/360 * pie (12)^2 i got 30 pie or 94.2
anonymous
  • anonymous
|dw:1332296841150:dw|
anonymous
  • anonymous
yep...that is the area of the sector....now you have to find the area of the triangle.
anonymous
  • anonymous
|dw:1332297014704:dw|
anonymous
  • anonymous
|dw:1332297109591:dw|
anonymous
  • anonymous
14.6
anonymous
  • anonymous
14.61027429621
anonymous
  • anonymous
yes
anonymous
  • anonymous
so that is how you do it?
anonymous
  • anonymous
thank you so much for your time and patience i wish i could give you more gold medals!
anonymous
  • anonymous
now you have to find the height
anonymous
  • anonymous
subtract the area of the triangle...one half base time the height. you now have the base, all you need is the height.
anonymous
  • anonymous
|dw:1332297411317:dw|
anonymous
  • anonymous
|dw:1332297488342:dw|
anonymous
  • anonymous
|dw:1332297525392:dw|
anonymous
  • anonymous
9.52
anonymous
  • anonymous
|dw:1332297612880:dw|
anonymous
  • anonymous
yep
anonymous
  • anonymous
|dw:1332297759270:dw|
anonymous
  • anonymous
69.5
anonymous
  • anonymous
|dw:1332297857652:dw|
anonymous
  • anonymous
wait we have to do all this to find the area of the shaded region?
anonymous
  • anonymous
24.7
anonymous
  • anonymous
yes.
anonymous
  • anonymous
wow i didnt expect alot
anonymous
  • anonymous
thank you so much :)
anonymous
  • anonymous
if the angles are nice...90 or 60...etc...its easier.
anonymous
  • anonymous
sure, have a good night.
anonymous
  • anonymous
same to you sir/m'am !
anonymous
  • anonymous
if you know two sides of a triangle an the angle between those two sides, the area of the triangle is obtained by the formula side1*side2*sin(75)/2: |dw:1332305035718:dw|
anonymous
  • anonymous
in this problem, s1 = s2 = 12, and the angle between them is 75 degrees. So the area of the triangle is 1/2*12*12*sin75
anonymous
  • anonymous
NICE!!!!!!!!!! Thanks!!!!
anonymous
  • anonymous
your welcome :)

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