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MathNet 2019-part-04 — 184 problems (EN–VI) Question 51

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 51

In the regular quadrilateral pyramid $V A B C D$, the height has length $h$ and is a diameter of a sphere, and $m(\angle A V B)=\varphi$. Determine the length of the curve obtained as the intersection of the sphere with the lateral surface of the pyramid.