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Semicircles of diameter 2 inches are lined up as shown. What is the area, in square inches, of the shaded region in a 1-foot length of this pattern? Express your answer in terms of pi.

 

am i just dumb or isn't this just simply 11 semicircles with area pi/2 so it would be 11pi/2 but apparently that's wrong so I don't get it

 

pic
 

 Mar 10, 2023
 #1
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Each individual circle is pi, so each semicircle is pi/2.  Therre are 9 semicircles, so the area is 9*pi/2.

 Mar 10, 2023
 #2
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If the diameter of each is 2" and the total length is 1' then    12/2=6

 

There will be 6 semicircles on the top and 6 semicircles on the bottom which makes 6 circles

 

A= pi* 1^2  =  pi

 Mar 11, 2023
 #3
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nevermind, I'm just stupid. thanks melody

idontknowhowtodivide  Mar 11, 2023
edited by idontknowhowtodivide  Mar 11, 2023
 #4
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Nevermind, we are all stupid sometimes.   wink

Melody  Mar 12, 2023

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