Permalink Submitted by Anonymous on March 20, 2012

So it looks like the round peg in square hole is tighter since:
Assume radius =1
Area of circle = pie(r)^2 = 3.14159
Are of square = 4x (1*1)=4
Ratio = 3.14159/4 = .78

while square peg in round hole is:
Area of square = 4*(1/2 base*height)=4*(1/2*1*1) = 2
Area of circle = pie(r)^2 = 3.14159
ratio = 2/3.14159 = .63

## Puzzle

So it looks like the round peg in square hole is tighter since:

Assume radius =1

Area of circle = pie(r)^2 = 3.14159

Are of square = 4x (1*1)=4

Ratio = 3.14159/4 = .78

while square peg in round hole is:

Area of square = 4*(1/2 base*height)=4*(1/2*1*1) = 2

Area of circle = pie(r)^2 = 3.14159

ratio = 2/3.14159 = .63

JV