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Problem 403. Circular sector, 90 degrees, Circle, Semicircle, Area.
Level: High School, College, SAT Prep.

The figure shows a circular sector AOB of 90 degrees and a semicircle of diameter OB. Circle D is tangent to OA and arcs AB and OB. If S, S1, S2, and S3, are the shaded areas, prove that S = S1 + S2 + S3.

Circular sector, 90 degrees, area



 

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