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Question

In the diagram, K, O and M are the centers of the three semi-circles. Also, OC = 32 and CB = 36. FIGURE What is the length of AC?

Accepted Answer

We know that OA and OB are each radii of the semi-circle with center O. Thus, OA=OB=OC+CB=32+36=68. Therefore, AC=AO+OC=68+32=100.