2010 AMC 8 Problems/Problem 19
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 | |
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