Three Circles

Geometry Level 3

Circles \(A\), \(B\), and \(C\) are shown above. The difference between the lengths of major arc \(CB\) and minor arc \(CB\) is \(\dfrac {8π} {3}\). What is the area of \(\triangle ABC\)?

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Three Circles

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.