## Points $$A, B,$$ and $$C$$ are points on a circle with a radius of $$6.$$ Point $$D$$ is the midpoint of side $$AC.$$

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### Points $$A, B,$$ and $$C$$ are points on a circle with a radius of $$6.$$ Point $$D$$ is the midpoint of side $$AC.$$

by Gmat_mission » Wed Sep 23, 2020 5:41 am

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A

B

C

D

E

## Global Stats

Points $$A, B,$$ and $$C$$ are points on a circle with a radius of $$6.$$ Point $$D$$ is the midpoint of side $$AC.$$ What is the area of triangle $$ABC?$$

Statement #1: Segment $$BD$$ passes through the center of the circle.

Statement #2: Arc $$AB$$ has a length of $$4\pi.$$