1953 AHSME Problems/Problem 11: Difference between revisions
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A running track is the ring formed by two concentric circles. | A running track is the ring formed by two concentric circles. It is <math> 10</math> feet wide. The circumference of the two circles differ by about | ||
== Solution == | == Solution == | ||
Revision as of 11:18, 22 April 2020
A running track is the ring formed by two concentric circles. It is 
feet wide. The circumference of the two circles differ by about
Solution
Call the radius of the outer circle 
and that of the inner circle 
. The width of the track is 
. The circumference of a circle is 
times the radius, so the difference in circumferences is 
feet. If we divide each side by , we get 
feet.
See Also
| 1953 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
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