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A piece of wire 72 cm long is cut into two equal pieces and each is formed into a circle. What is the sum, in square centimeters, of the areas of these circles?

 Jun 15, 2021
 #1
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The  circumference  of  each  circle will be  36 cm

 

So...in one  circle

 

C = 2 pi  * r

 

36   =  2pi * r

 

36  /( 2pi)  = r

 

18  /pi   =  r

 

So....the combined areas  of the  2 circles  = 

 

2 * pi  r^2   =

 

2 * pi  * ( 18/pi)^2   =

 

2 *  pi *  324 / pi^2  =

 

648  / pi      cm^2         { ≈  206.26 cm^2   }

 

 

cool cool cool

 Jun 15, 2021
 #2
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Answer

 Jun 15, 2021

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