MathDB
Arc Segment

Source: AMC 12 2008B Problem 9

February 29, 2008
trigonometrygeometrypower of a pointPythagorean TheoremAMC

Problem Statement

Points A A and B B are on a circle of radius 5 5 and AB\equal{}6. Point C C is the midpoint of the minor arc AB AB. What is the length of the line segment AC AC? <spanclass=′latex−bold′>(A)</span> 10<spanclass=′latex−bold′>(B)</span> 72<spanclass=′latex−bold′>(C)</span> 14<spanclass=′latex−bold′>(D)</span> 15<spanclass=′latex−bold′>(E)</span> 4 <span class='latex-bold'>(A)</span>\ \sqrt{10} \qquad <span class='latex-bold'>(B)</span>\ \frac{7}{2} \qquad <span class='latex-bold'>(C)</span>\ \sqrt{14} \qquad <span class='latex-bold'>(D)</span>\ \sqrt{15} \qquad <span class='latex-bold'>(E)</span>\ 4
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