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Source: — Problem Solving |

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by Ian Stewart » Sun Dec 28, 2008 11:19 am
Angle ABC is 90 degrees (whenever you connect a diameter AC to a point B on the circumference of a circle, the angle at B is 90). The hypotenuse of ABC is 2 (it's double the radius), and one side is 1, which means the remaining side is root(3), by Pythagoras, or by noticing we must have a 30-60-90 triangle. Base*height/2 = root(3)/2.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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