Difference between revisions of "2021 AMC 10A Problems/Problem 3"
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==Problem== | ==Problem== | ||
| − | + | If a circle is inscribed in a square and then have right triangles with legs on the sides of the square and within the area between the circle and the square, what is the area inside the square but outside the triangles and the circle if the area of the circle is equal to the perimeter of the square? | |
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| + | <math> \textbf{(A)}\ 12pi + 14\qquad\textbf{(B)}\ 11pi\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 32pi\qquad\textbf{(E)}\ 22pi </math> | ||
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==Solution== | ==Solution== | ||
We don't know yet, but since 10+9=21, we know that the answer is G. | We don't know yet, but since 10+9=21, we know that the answer is G. | ||
Revision as of 20:34, 31 January 2021
Contents
Problem
If a circle is inscribed in a square and then have right triangles with legs on the sides of the square and within the area between the circle and the square, what is the area inside the square but outside the triangles and the circle if the area of the circle is equal to the perimeter of the square?
Solution
We don't know yet, but since 10+9=21, we know that the answer is G.
Note
This problem might also be on the AMC 12A. If so, please redirect it there.
See also
| 2021 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 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. 
