Two Circles and a Square

Geometry Level 3

Two identical touching circles of radius \(r\) share the same tangent. A square of side \(s\), rests on the tangent and touches the two circles as shown in the diagram above.

If \(r\) is 10 units. Then the side \(s\) of the square is how many units?

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Two Circles and a Square

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100 Day Summer Challenge

Two Circles and a Square

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, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

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

Master advanced concepts through explanations,
examples, and problems from the community.

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

Master advanced concepts through explanations,
examples, and problems from the community.

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