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Mathematics 20 Online
OpenStudy (anonymous):

Help?

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

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 : \[A = \pi\times r^2 = 3.14\times 8^2 = 200.96\]

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?

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

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!

ganeshie8 (ganeshie8):

yw

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