As a circle of radius r has a circumference of 2 π r regardless of the value of c.
Rope around the earth add 3 feet.
The idea is to imagine the earth is a cube or just a square really and ask yourself if you added say 8 feet to the rope how far would that raise it above the square earth.
Suppose you tie a rope tightly around the earth s equator.
Suppose you tie a rope around the earth at the equator circumference approx.
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.
C add 2 π h 2 3 14 1 6 28 metres.
From there it s not hard to believe that adding 3 feet to a rope around the actual earth would raise it almost 6 inches.
You add an extra 3 feet to the length.
Now raise it just one foot from the floor where you stand.
From the diagram it s pretty clear it s one foot.
Suppose allistair then comes.
A corollary is that to raise the original string 16 cm 6 3 in off the ground all the way around the equator only about 1 metre 3 ft 3 in needs to be added.
If you put 1 metre high sticks.
Imagine putting the rope around the earth tightly.
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.
You have a piece of rope that just fits around the earth.
Suppose poindexter takes a very long rope and wraps it around the equator of the earth.
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.
All around the earth the rope is raised up uniformly as high as is possible to make it tight again.
15cm that s how far off the ground we re lifting the string remember out of 6 370km is close.
40 000 divided by 2 is 20 000.
Assume he has just the right length that makes this work without any slack.
Divide again by pi to get the earth s radius 6 370km.