Difference between revisions of "2011 AMC 10A Problems/Problem 18"
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Revision as of 12:04, 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
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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