In fact this brain teaser requires neither an exact measurement of the earth s circumference which in fact varies by many kilometers depending on which circumference you measure nor even an assumption that the earth has a circular cross sect.
Rope around the earth add 10 feet.
Now untie the rope and add.
If you put 1 metre high sticks right around the equator and lay the rope on.
3 footcircumference 131 480 194 53 feet.
Now let us tie a rope tightly around its equator.
All around the earth the rope is raised up uniformly as high as is possible to make it tight again.
Suppose you tie a rope around the earth at the equator circumference approx.
Divide again by pi to get the earth s radius 6 370km.
Difference of diameters is 0 95 feet.
Let s say you pull the rope as tight as it will go and then add back 6 feet of slack before tying the knot.
Suppose you tie a rope tightly around the earth s equator.
Suppose you tie a rope tightly around the earth s equator.
Student answer form blackline master rope around the world you have a piece of rope that just fits around the earth.
Divide that by 2 to get how high off the ground the rope is all the way around the earth.
All around the earth the rope is raised up uniformly as high as is possible to make it tight again.
Subtract larger of the two diameters from the smaller.
Rope around the earth consider the earth to be a perfect sphere.
Divide by 2 pi to get.
You add an extra 3 feet to the length.
3 foot radius 20 925 722 88.
If the extra rope is distributed evenly around the globe will there be enough space between the rope and the surface of the earth for a worm to crawl under.
40 000 divided by 2 is 20 000.
You add an extra 3 feet to the length.
15cm that s how far off the ground we re lifting the string remember out of 6 370km is close.