Find radius of circle

Geometry Level 3

Two circles of unit radii touch each other and each of them touches internally a circle of radius two,as shown in figure. The radius of the circle which touches all three circles is \(\text{__________} \).

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Find radius of circle

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.