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A piece of paper in the shape of an equilateral triangle with side length 3 and a circular piece of paper with radius 1 are glued together so that their centers coincide. How long is the outer perimeter of the resulting 2-dimensional shape?

 Nov 26, 2019
 #1
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See the image here :

 

 

AE =  1   =  FB

 

And  minor arc EF  = 2 pi (1) / 6   =   pi/ 3

 

So....by symmetry.....the perimeter  is

 

3  [ 2 + pi / 3) ]  =

 

[ 6 +  pi   ]  units   ≈  9.14 units

 

cool cool cool 

 Nov 26, 2019

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