Bounded within what area?

Calculus Level 3

Consider all rhombuses with side length 2 whose centers are the origin and vertices lie on the coordinate axes. The area that envelopes these rhombuses can be expressed as \( \pi r \). What is \(r\) to 2 decimal places?

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Bounded within what area?

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 7 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.