Mathematics
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OpenStudy (anonymous):
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OpenStudy (anonymous):
OpenStudy (anonymous):
@ganeshie8
ganeshie8 (ganeshie8):
You know radius of given semicircle, \(r=8\)
can you find the area ?
OpenStudy (anonymous):
Do I divide the radius by 2 to find the area of a semicircle?
ganeshie8 (ganeshie8):
No, first find the the area of entire circle
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ganeshie8 (ganeshie8):
then take half of that area
OpenStudy (anonymous):
a= 201.06
ganeshie8 (ganeshie8):
Careful, you need to use pi = 3.14
OpenStudy (anonymous):
Could you give me the formula?
ganeshie8 (ganeshie8):
Area of region inside full circle :
\[A = \pi\times r^2 = 3.14\times 8^2 = 200.96\]
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ganeshie8 (ganeshie8):
take half of that to get the area of semi circle
OpenStudy (anonymous):
100.48 :)
ganeshie8 (ganeshie8):
Yes, put that aside.
Next find the area of triangle
ganeshie8 (ganeshie8):
Notice that its base is the diameter of circle : b = 16
and height is the radius of circle : h = 8
area of triangle = ?
OpenStudy (anonymous):
Do we multiply 3.14 by the radius?
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ganeshie8 (ganeshie8):
use area of triangle formula
look up in ur notes
OpenStudy (anonymous):
Found it!
OpenStudy (anonymous):
64!
ganeshie8 (ganeshie8):
Yes subtract that from the area of semicircle that you found earlier
ganeshie8 (ganeshie8):
that gives the area of shaded region
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OpenStudy (anonymous):
36.48yd^2
ganeshie8 (ganeshie8):
Area of shaded regin = (Area of semicircle) - (Area of triangle)
= (100.48) - (64)
= 36.48
OpenStudy (anonymous):
It would be yd^2 because area is squared, right?
ganeshie8 (ganeshie8):
You're correct! units for area is always ^2
OpenStudy (anonymous):
Thank you!
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ganeshie8 (ganeshie8):
yw