HMMT 2012 G5
- Geometry
- Answer
A mouse lives in a circular cage with completely reflective walls. At the edge of this cage, a small flashlight with vertex on the circle whose beam forms an angle of is centered at an angle of away from the center. The mouse will die in the dark. What fraction of the total area of the cage can keep the mouse alive?
Geometry Test
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{3}{4}
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