Difference between revisions of "2011 AMC 12A Problems/Problem 11"
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== Problem == | == Problem == | ||
| + | Circles <math>A, B,</math> and <math>C</math> each have radius 1. Circles <math>A</math> and <math>B</math> share one point of tangency. Circle <math>C</math> has a point of tangency with the midpoint of <math>\overline{AB}.</math> What is the area inside circle <math>C</math> but outside circle <math>A</math> and circle <math>B?</math> | ||
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| + | <math> | ||
| + | \textbf{(A)}\ 3 - \frac{\pi}{2} \qquad | ||
| + | \textbf{(B)}\ \frac{\pi}{2} \qquad | ||
| + | \textbf{(C)}\ 2 \qquad | ||
| + | \textbf{(D)}\ \frac{3\pi}{4} \qquad | ||
| + | \textbf{(E)}\ 1+\frac{\pi}{2}} </math> | ||
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== Solution == | == Solution == | ||
== See also == | == See also == | ||
{{AMC12 box|year=2011|num-b=10|num-a=12|ab=A}} | {{AMC12 box|year=2011|num-b=10|num-a=12|ab=A}} | ||
Revision as of 02:34, 10 February 2011
Problem
Circles 
and 
each have radius 1. Circles 
and 
share one point of tangency. Circle has a point of tangency with the midpoint of 
What is the area inside circle but outside circle and circle 
$\textbf{(A)}\ 3 - \frac{\pi}{2} \qquad \textbf{(B)}\ \frac{\pi}{2} \qquad \textbf{(C)}\ 2 \qquad \textbf{(D)}\ \frac{3\pi}{4} \qquad \textbf{(E)}\ 1+\frac{\pi}{2}}$ (Error compiling LaTeX. Unknown error_msg)
Solution
See also
| 2011 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 10 |
Followed by Problem 12 |
| 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 12 Problems and Solutions | |
