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SAT Question of the Day Explained – January 13, 2014 – Circles, Semicircles, Area

 

Image copyright The College Board

Today’s official SAT question of the day is about a shaded circle inscribed in a semicircle. Given only the radius of the semicircle, we are asked to find the area of the shaded circle.

How to start:
From the diagram and the given information, we must notice that the circle’s diameter is also a radius of the semicircle; this segment is labeled CD.

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