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Omni-MATH / Let C be a circle with two diameters intersecting at an angle of 30 degrees. A circle S is tangent to both diameters and to C, and has radius 1. Find the largest possible radius of…

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problem

Let CC be a circle with two diameters intersecting at an angle of 30 degrees. A circle SS is tangent to both diameters and to CC, and has radius 1. Find the largest possible radius of CC.
Plain-text mathematical notation (without MathML)
Let C be a circle with two diameters intersecting at an angle of 30 degrees. A circle S is tangent to both diameters and to C, and has radius 1. Find the largest possible radius of C.
Original LaTeX notation
Let $C$ be a circle with two diameters intersecting at an angle of 30 degrees. A circle $S$ is tangent to both diameters and to $C$, and has radius 1. Find the largest possible radius of $C$.

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