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Omni-MATH / Let Ω be a sphere of radius 4 and Γ be a sphere of radius 2 . Suppose that the center of Γ lies on the surface of Ω. The intersection of the surfaces of Ω and Γ is a circle. Comput…

Problem

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problem

Let Ω\Omega be a sphere of radius 4 and Γ\Gamma be a sphere of radius 2 . Suppose that the center of Γ\Gamma lies on the surface of Ω\Omega. The intersection of the surfaces of Ω\Omega and Γ\Gamma is a circle. Compute this circle's circumference.
Plain-text mathematical notation (without MathML)
Let Ω be a sphere of radius 4 and Γ be a sphere of radius 2 . Suppose that the center of Γ lies on the surface of Ω. The intersection of the surfaces of Ω and Γ is a circle. Compute this circle's circumference.
Original LaTeX notation
Let $\Omega$ be a sphere of radius 4 and $\Gamma$ be a sphere of radius 2 . Suppose that the center of $\Gamma$ lies on the surface of $\Omega$. The intersection of the surfaces of $\Omega$ and $\Gamma$ is a circle. Compute this circle's circumference.

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Source and history

task_id
1a7ee6bc-3cf2-5d14-b555-87fdf5494d9a
task_key
test--1a7ee6bc-3cf2-5d14-b555-87fdf5494d9a
task_revision_id
1
config / split
/ test

Official source

initial import