Difference between revisions of "2011 AMC 10A Problems/Problem 18"
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== Solution 2== | == Solution 2== | ||
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pair A,B,C; | pair A,B,C; | ||
A=(0,0); | A=(0,0); | ||
B=(2,0); | B=(2,0); | ||
C=(1,1); | C=(1,1); | ||
− | + | </asy> | |
== See Also == | == See Also == |
Revision as of 12:03, 29 December 2019
Contents
Problem 18
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
?
Solution
Not specific: Draw a rectangle with vertices at the centers of and
and the intersection of
and
. Then, we can compute the shaded area as the area of half of
plus the area of the rectangle minus the area of the two sectors created by
and
. This is
.
Solution 2
pair A,B,C; A=(0,0); B=(2,0); C=(1,1); (Error making remote request. Unknown error_msg)
See Also
2011 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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 |
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