Most Compact Countries

Name the countries which borders are the smoothest, and therefore the shape of the country is most like a circle.
The ratio is the length of borders if a circle:the actual length
includes land borders and coastlines.
Quiz by relessness
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Last updated: February 9, 2016
First submittedJuly 16, 2014
Times taken181
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Ratio
Country
0.90
Mauritius
0.87
Swaziland
0.83
Saint Vincent and the Grenadines
0.77
Libya
0.76
Barbados
0.75
Tuvalu
0.75
Algeria
Ratio
Country
0.74
Macedonia
0.74
Saudi Arabia
0.73
Vatican City
0.72
Zimbabwe
0.71
Equatorial Guinea
0.71
San Marino
0.71
Yemen
Ratio
Country
0.70
Trinidad and Tobago
0.70
Niger
0.70
Ethiopia
0.70
Sierra Leone
0.70
Nigeria
0.69
Egypt
+1
Level 73
Jul 16, 2014
Looks like my 'compacted countries' quiz but your definition of the quiz and "circle ratio" are certainly easier to understand, good thinking!
+1
Level 7
Jul 17, 2014
I think yours are better. How could anybody answer egypt o libya? Since there shaped square.
+1
Level 66
Jul 16, 2014
Incredibly difficult quiz, very interesting!
+1
Level 81
Jul 16, 2014
What a weird quiz. Libya, Egypt and Saudi Arabia are definitely much less like circles than, say, Singapore, Lesotho, Taiwan etc.
+1
Level 81
Jul 16, 2014
Trapezoids, Octagons and Rhombuses have smooth edges, too... that doesn't make them round or like a circle. Maybe you should call this "Countries with the Smoothest Edges?" Though, I'm still not clear on what exactly you are measuring.
+1
Level 81
Jul 16, 2014
I would define "like a circle" or "round" using some kind of algortihm that awarded points for having the highest percentage of land being as close as possible to the geographic center of the country, as a ratio measured against the total area of the country, and would take points away for any large sharp edges. Not that that would be easy to come up with..
+1
Level 81
Jul 16, 2014
I figured out what you're measuring. I still think the title is misleading. I mean you could take a circle and completely flatten it out into a straight line... and the ratio would be perfect.. but the resulting shape would not be even remotely round and would look nothing at all like a circle. On the other hand you could have a country that was perfectly circular except the borders were full of grooves and shaped like a gear... and then it would not be on this quiz because it would have a very long coastline.
+1
Level 51
Jul 18, 2014
I don't understand your point with the flattened circle...if I'm correct the ratio is obtained dividing the perimeter of a circle with an area equivalent to that of the state, by the actual perimeter of the state (length of borders).

I think that a way to take into account your intuitive definition of "round country" would be to take the ratio between the radii of the largest inscribed circle and the smallest circumscribed one. In this way for example Lesotho would be less penalized for its highly irregular border.