Difference between revisions of "2010 AMC 8 Problems/Problem 19"
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Revision as of 01:57, 5 July 2013
Problem
The two circles pictured have the same center . Chord
is tangent to the inner circle at
,
is
, and chord
has length
. What is the area between the two circles?
Solution
Since is isosceles,
bisects
. Thus
. From the Pythagorean Theorem,
. Thus the area between the two circles is
See Also
2010 AMC 8 (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 AJHSME/AMC 8 Problems and Solutions |
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