Difference between revisions of "2021 Fall AMC 10A Problems/Problem 19"
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<math>\textbf{(A) }10\qquad\textbf{(B) }11\qquad\textbf{(C) }12\qquad\textbf{(D) }13\qquad\textbf{(E) }14</math> | <math>\textbf{(A) }10\qquad\textbf{(B) }11\qquad\textbf{(C) }12\qquad\textbf{(D) }13\qquad\textbf{(E) }14</math> | ||
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| + | ==See Also== | ||
| + | {{AMC10 box|year=2021 Fall|ab=A|num-b=18|num-a=20}} | ||
| + | {{MAA Notice}} | ||
Revision as of 16:43, 23 November 2021
. A disk of radius 
rolls all the way around in the inside of a square of side length 
and sweeps out a region of area 
. A second disk of radius rolls all the way around the outside of the same square and sweeps out a region of area 
. The value of 
can be written as 
, where 
and 
are positive integers and 
and are relatively prime. What is 
See Also
| 2021 Fall AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 18 |
Followed by Problem 20 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
