Difference between revisions of "2008 AMC 10B Problems/Problem 10"
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==Problem== | ==Problem== | ||
− | + | Points A and B are on a circle of radius 5 and AB=6. Point C is the midpoint of the minor arc AB. What is the length of the line segment AC? | |
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==Solution== | ==Solution== |
Revision as of 17:38, 10 August 2008
Problem
Points A and B are on a circle of radius 5 and AB=6. Point C is the midpoint of the minor arc AB. What is the length of the line segment AC?
Solution
We know that , so we plug in to get . We plug in to get
. Substituting gives
This gives .
Answer B is the correct answer
NOTE: This is my (BOGTRO) solution, not the official one,
and should be ignored in view of a better solution.
See also
2008 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
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 |