JNK said:
sc94597 said:
Firstly, using squares to approximate circles and ellipses is a poor way to find area of these continents.
Secondly, at 1.5 x speed on earth, the average runner could run 1.6 kilometers at a speed of ~ 7 m/s (15 mph) before they get tired. That would make the total distance between the points in the OP approximately 13 km. If we are to assume all five continents are the same area, and we are to look at the time it takes for him to reach the second continent from the first, we get the first continent to be 70 seconds(1:10)* 9 (sped up nine times)* 7 m/s * 1000 m/km = 4.41 kilometers across just that one continent. Now if we take the radius to be 2.2 and approximate it as a circle (seems alright for that continent) we get its area to be pi*(2.2)^2 = 15 km^2. If we are to assume that the continents are similar in size, then that would be 15 *5 = 75 km^2, which is about twice the size of Skyrim. However, some continents might be larger than others. For example the green one and white ones seem much larger than the desert one (which is the 15 km^2 estimate.)
edit:
By the way, my prior estimate using the other method for the Desert contintent was
Desert: 17 km^2
So that is pretty close to what we seem to have here.
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the continents are far from a circle though. they are much more lanky then wide. The 15km 4.41km are NOT the radius. Calculate with squares is more accurate then with circles in this case.
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The desertous continent is much more a circle than a square. If you were to place a square in it with a side length of 4.41 km you'd get many missing edges. If you were to place a circle in it with a diameter (never said radius) of 4.41km you would get fewer missing edges.
