GAIC Math 2024 Problem 87

Answer

In a cube $ABCD-A_1B_1C_1D_1$ , $AA_1=1$ , E, F are the midpoints of edges $CC_1, DD_1$ , then the area of the cross-section obtained by the plane AEF intersecting the circumscribed sphere of the cube is _____.

Dataset text MathOdyssey. Open licence.

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$\frac{7}{10}\pi$

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