+0  
 
0
49
1
avatar

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?

 Mar 13, 2021
 #1
avatar+118069 
+1

The circumference  of each circle  =   36 cm

 

The  radius  of  each   can  be found as

 

36  =2pi r

 

r = 36/ (2pi)  = 18/pi

 

The  combined area  is

 

2 *  pi  ( r)^2   =

 

2 *  pi  *  ( 18 / pi) ^2  =

 

648 / pi   cm^2

 

 

Note  that  the  uncut wire would  form a circle   with an area  of  : pi  (36/pi)^2  =  2592/pi cm^2    !!!

 

cool cool cool

 Mar 13, 2021

31 Online Users

avatar
avatar
avatar
avatar
avatar