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Geometry Level 3

If the pattern of inscribed circles shown in the image above is repeated infinitely, and the side length of the equilateral triangle is \(a\), then find the area of all the circles in terms of \(a\).

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Hone in all 3 spots

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.