SOLUTION: Andy has two equal squares of cookie dough, each of the same uniform thickness. On one square Andy makes the largest possible circular cookie and on the other he makes sixteen equa

Algebra ->  Circles -> SOLUTION: Andy has two equal squares of cookie dough, each of the same uniform thickness. On one square Andy makes the largest possible circular cookie and on the other he makes sixteen equa      Log On


   

Question 941533: Andy has two equal squares of cookie dough, each of the same uniform thickness. On one square Andy makes the largest possible circular cookie and on the other he makes sixteen equal circular cookies. Assuming each circle is inscribed in identical non-overlapping square sections which comprise the whole of the original square piece of cookie dough, the ratio of the total volume of the large cookie to the volume of the sixteen smaller cookies is:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: draw two squares with side length of 8 and inscribe the circles (as you see below)



The diameter of the larger circle on the left is 8
The radius of the larger circle on the left is (1/2)*8 = 4

The diameter of each smaller circle on the right is 8/4 = 2
The radius of each smaller circle on the right is (1/2)*2 = 1