SOLUTION: The world's largest carousel in spring green, Winston has a diameter of 80 feet. How far does a rider travel on an outside horse after 10 revolutions

Algebra ->  Circles -> SOLUTION: The world's largest carousel in spring green, Winston has a diameter of 80 feet. How far does a rider travel on an outside horse after 10 revolutions       Log On


   

Question 1115449: The world's largest carousel in spring green, Winston has a diameter of 80 feet. How far does a rider travel on an outside horse after 10 revolutions
Found 2 solutions by jim_thompson5910, math_helper:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The circumference of the circle is pi%2Ad+=+pi%2A80+=+80pi feet (where pi is approximately 3.14)
The symbol pi is pi

So in one full 360 degree revolution, the rider travels 80pi feet

In 10 revolutions, the rider travels 800pi feet (because 80*10 = 800, then just tack on the pi)

The exact answer is 800pi. If you use the approximation pi=3.14, then the approximate answer is 2512 because 800*pi=800*3.14 = 2512. The units of this answer is "feet".

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
In one revolution, the rider travels one circumference +2%2Api%2Ar+ or +pi%2Ad+, where d is the diameter:
+C+=+pi%2Ad+=+pi%2A80 ft
Ten revolutions is therefore +10%2Api%2A80+=+800pi+ ft, which is approx. 2513.3ft. (a little less than 1/2 mile)