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If all people eat the same amount, and a circular pizza 12 inches in diameter serves two people, how many inches in diameter must eac of three equal pizzas be in order to serve four people?

 May 4, 2020
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Area  of  pizza  with 12 in diameter  =  pi (12//2)^2  =  pi (6)^2  =   36pi  in^2

So each person eats  18pi in ^2

 

Then  4 people  must  eat    4 (18 pi)  =  72 pi  in^2

 

So....we need to solve this

 

72pi  =  3 (pi * r^2)     divide both sides by 3 pi

 

24  = r^2   take the positive root

 

sqrt (24)  = r

 

So....the diameter =  2r  =  2qrt (24)  = 2 *2sqrt (6)  =   4sqrt (6)  in 

 

 

 

cool cool cool

 May 4, 2020

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