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The radius of the Earth is about 4000 miles One rope is laid on the ground all the way around the equator A second rope is placed exactly 10 feet above the second rope all the way around the equato?
Wiki User
∙ 15y ago
.... and you want to know how much longer the second rope is than the first one?
If we take 4,000 miles as the radius, and we want to do any comparison with feet then we need to convert the miles to feet. There are 5,280 feet in a mile, and I'll use 3.1416 as the value of pi.
So, rope A goes around a circle with a radius of 4,000, which is a radius of 21,120,000 feet.
Then rope B goes around a circle with a radius of 21,120,010 feet.
As the circumference = 2 pi r we can multiply both of these by 2 pi and subtract the smaller from the larger.
Rope A = 132701184 feet
Rope B = 132701246.832
The difference here is 62.832 feet.
However, we can get exactly the same result if we just multiply the extra 10 feet by 2 pi = 10 x 2 x 3.1416 = 62.832. This is equal to 62 feet 10 inches.
Wiki User
∙ 15y ago
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