A large pizz has a circumference of 83in. Which of the perimeters listed could belong to the smallest box capable of holding the pizza

Question

 A large pizz has a circumference of 83in. Which of the perimeters listed could belong to the smallest box capable of holding a large pizza? 1) 27” 2) 54” 3) 108” 4) 135”

Answer 1

Find the diameter of the pizza.  The length of the box must be no smaller than the diameter of the pizza.  Multiply the length of the box by 4 to get its perimeter.

 

d  = C/π = (83 in)/π ≅ 26.42 in

 

P_min = 4d = 4(26.42 in) ≅ 105.7 in

 

Of the given choices, (3) is the smallest that will work.