SOLUTION: All seven smaller circles are tangent to each other, and the larger circle is tangent to the six outer smaller circles. The radius of each of the smaller circles is 3 cm. In cm^2,

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Question 1189442: All seven smaller circles are tangent to each other, and the larger circle is tangent to the six outer smaller circles. The radius of each of the smaller circles is 3 cm. In cm^2, the sum of the areas marked "Aa" is.
A) 8(6(pi) - 4(sqrt(3))
B) 6(4(pi) - (sqrt(3))
C) 8(4(pi) - 5(sqrt(3))
D)9(5(pi) - 6(sqrt(3))
E)7(pi) - (sqrt(3)

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Your post contains neither a figure nor a description of the figure, so we have no idea what area is marked "Aa".



Thanks for providing a link to a diagram in you thank-you note to me.

But I already knew what the figure looked like. What I didn't know, and still don't, is what part of the figure is the area "Aa".


Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

Hey,  it is really interesting to me to know how seven circles of the same radius
can be tangent  " to each other "  on a plane.

Could you provide a link,  a picture,  a sketch or a reference ?


As a bonus,  I promise to send you  1  (one)  US  dollar in response . . .


----------------


I got a response from you pointing to the link
https://etc.usf.edu/clipart/42900/42921/circle-27_42921.htm


But notice,  that the  7  (seven)  circles of radius of  3  cm in this plot  DO  NOT  TANGENT  " each to other ",
so yours wording description is  INCORRECT.


It is  PRECISELY  what I wanted to make sure,  that your description is incorrect.


It is incorrect,  because it describes a situation which  NEVER  MAY  HAPPEN.


Therefore,  I will not send you my one US dollar.


I can not spend my money paying for incorrect descriptions . . .



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