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The circumference of a circle is pi^2.  Find the length of a side of a square inscribed in the circle.

 May 19, 2020
 #1
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The circumference of a circle is pi^2.  Find the length of a side of a square inscribed in the circle. 

 

Circumference is π • d.  Since this circumference is π • π that means d = π 

 

The diameter, i.e., π, is the diagonal of the inscribed square.  

 

Therefore, a side of the square is π / sqrt(2).  In numeric value approx  3.1416 / 1.414  =  about 2.22 

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 May 19, 2020
 #2
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3.14/1.41 = about 2.22

 May 19, 2020
 #3
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Side   a = sqrt(pi² / 2)  smiley

 May 19, 2020

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