Suppose I take a red piece of rope and I put in on the ground to form a circle. Now, if I take a green rope that is about six feet longer than the first and place it on the ground it will form a circle about one foot wider.
It isn't hard to imagine that a small circle will grow by a foot, but the bizarre fact is that ANY circle will grow an entire foot wider for each additional six feet in length. This means that if a rope is tied around the Earth's Equator, adding a jumping rope to it will cause the entire rope to lift an whole foot above the ground!
Proof.
The "trick" here is that the radius has a direct relationship to the circumference. The mathematical equation is c=2*pi*r. pi is 3.14, so we get c=6.28 * r. Increase a circle's circumference by 6.28 and its radius increases by 1.
No comments:
Post a Comment