2008 AMC 10B Problems/Problem 10
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 | |
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All AMC 10 Problems and Solutions |