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MATH / Four circles with radii 1, 2, 3, and r are externally tangent to one another, where r is the smallest radius. Compute r.

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problem

Four circles with radii 1, 2, 3, and rr are externally tangent to one another, where rr is the smallest radius. Compute rr.
Plain-text mathematical notation (without MathML)
Four circles with radii 1, 2, 3, and r are externally tangent to one another, where r is the smallest radius.  Compute r.
Original LaTeX notation
Four circles with radii 1, 2, 3, and $r$ are externally tangent to one another, where $r$ is the smallest radius.  Compute $r$.

level

Level 5

type

Precalculus

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