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Keith_Richards [23]
3 years ago
14

A square hamburger is centered on circular bun, both have an area of 16 square inches. how far, to the naerest hundredth of an i

nch, does each corner of the burger stick out from the bun?
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

The solution:

 For the bread:

Area = π R²
  
16 in² = π R²

R² = 16 in² / π

Bun radius = √(16 in² / π)  =  2.257 inches


For the meat:

Area = side²

16 in² = side²

Side =  √16 in²  =  4 inches

Diagonal of the square = 4 √2  =  5.657 inches

1/2 of the burgerdiagonal = 2.828 inches .


If the meat is placed on the center of the bun, then the corner of the burger
extends to: (2.828 - 2.257)  =  0.57 inch

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