anonymous
  • anonymous
Find the combined area of the triangles. Click on the answer until the correct answer is showing.
Mathematics
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anonymous
  • anonymous
Find the combined area of the triangles. Click on the answer until the correct answer is showing.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1438287563603:dw|
anonymous
  • anonymous
plz help
welshfella
  • welshfella
what is the length of each leg of the triangles equal to ? - its some property of the circle.

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anonymous
  • anonymous
4
welshfella
  • welshfella
???? there are no values given in the question
anonymous
  • anonymous
the diameter would be 8
anonymous
  • anonymous
the triangles are right triangles
welshfella
  • welshfella
can you please submit the whole question
welshfella
  • welshfella
yes they are right angles and the length of each leg = radius of the circle
jim_thompson5910
  • jim_thompson5910
Each triangle looks like this |dw:1438288256480:dw|
anonymous
  • anonymous
the options are: A=27pi A=4pi-8 A=6/3pi A=16 A=9pi-9/2 √3
jim_thompson5910
  • jim_thompson5910
Area of triangle A = (b*h)/2 b = base h = height
anonymous
  • anonymous
so 4x4 = 16?
jim_thompson5910
  • jim_thompson5910
cut that in half to get 8
jim_thompson5910
  • jim_thompson5910
each triangle has an area of 8
anonymous
  • anonymous
But wouldn't that still be 16 because I'm finding the area of the COMBINED triangle?
jim_thompson5910
  • jim_thompson5910
yes you add up 8 and 8 to get 16
jim_thompson5910
  • jim_thompson5910
you can think of it as combining the two triangles to form a rectangle |dw:1438288668943:dw|
anonymous
  • anonymous
So the answer is 16?
anonymous
  • anonymous
I have another question...
anonymous
  • anonymous
Find the area of the shaded sections. Click on the answer until the correct answer is showing.
jim_thompson5910
  • jim_thompson5910
yeah the answer is 16
anonymous
  • anonymous
|dw:1438288773246:dw|
anonymous
  • anonymous
I don't think I'll ever understand this...
jim_thompson5910
  • jim_thompson5910
|dw:1438289099785:dw| 120+x = 180 what is x ?
anonymous
  • anonymous
x = 60?
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
what is the area of the entire circle?
anonymous
  • anonymous
360
jim_thompson5910
  • jim_thompson5910
use the formula A = pi*r^2
jim_thompson5910
  • jim_thompson5910
in this case, r = 4
anonymous
  • anonymous
A= 3.14 x 16 = 54.4?
jim_thompson5910
  • jim_thompson5910
let's leave that in terms of pi
jim_thompson5910
  • jim_thompson5910
area of entire circle = 16pi
jim_thompson5910
  • jim_thompson5910
the angle 60 is 60/360 = 1/6 of the circle so the area of the pizza slice I shaded is 1/6 of the entire area |dw:1438290027136:dw|
jim_thompson5910
  • jim_thompson5910
area of 1 pizza slice = (1/6)*(entire area) area of 1 pizza slice = (1/6)*(16pi) area of 1 pizza slice = (8/3)*pi
jim_thompson5910
  • jim_thompson5910
make sense?
anonymous
  • anonymous
not really...but you can move on to the next part...
jim_thompson5910
  • jim_thompson5910
well 1 slice is (8/3)*pi, so 2 slices combine to 2*(8/3)*pi = (16/3)pi
anonymous
  • anonymous
okay
jim_thompson5910
  • jim_thompson5910
|dw:1438290120997:dw|
anonymous
  • anonymous
OH! I get it! THANKKK YOUU!!!
jim_thompson5910
  • jim_thompson5910
np

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