MathDB
Length Chasing

Source:

March 9, 2006
trigonometrytrig identitiesLaw of CosinesgeometryLaw of SinesPythagorean Theorem

Problem Statement

ABAB is the diameter of a circle centered at OO. CC is a point on the circle such that angle BOCBOC is 60∘60^\circ. If the diameter of the circle is 55 inches, the length of chord ACAC, expressed in inches, is: (A) 3(B) 522(C)532 (D) 33(E) none of these\text{(A)} \ 3 \qquad \text{(B)} \ \frac{5\sqrt{2}}{2} \qquad \text{(C)} \frac{5\sqrt3}{2} \ \qquad \text{(D)} \ 3\sqrt3 \qquad \text{(E)} \ \text{none of these}
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