SOLUTION: i am not a student but a horse rider and i want to know if i have an 80ft. diameter round pen how many times would the horse need to go around the round circle to equal a mile. tha

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Question 932063: i am not a student but a horse rider and i want to know if i have an 80ft. diameter round pen how many times would the horse need to go around the round circle to equal a mile. thankyou mary jane

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
1 mile = 5280 feet
Circumference of a circle, 2%2Api%2A%28d%2F2%29 using d for diameter

The horse would not be moving ON the circle, but a little to the inside or interior, so you may need to know exactly how far from the circle's boundary the horse travels.

1%2Amile%2A%285280%2F1%29%28FEET%2Fmile%29%281%2F%282%2Api%2A%28%2880-x%29%2F2%29%29%29, how many circumferences in 1 mile.
x is for how far away from the circumference inside the circle's interior.


Those can be simplified. pi%2Ad is the formula for circumference if using the diameter, d. Your answer in purely symbolic form then is
highlight%285280%2F%28pi%2A%2880-x%29%29%29 for how many of the track's circumferences are in 1 mile of distance.