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arXiv · 2403.10529

Closed Form for Half-Area Overlap Offset of 2 Unit Disks

Max Chicky Fang
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Abstract

The separation between the centers of two unit circles such that their overlapping area is exactly half of each's area is known to be around $0.8079455\dots$ (OEIS A133741). However, no closed form of this number is known. Here, we determine its closed form representation in terms of the inverse regularized beta function.

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Max Chicky Fang. 2024-01-16. Closed Form for Half-Area Overlap Offset of 2 Unit Disks. https://arxiv.org/abs/2403.10529

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