# Right circular cone shortest distance question from a junior high school st. [duplicate]

Ant's shortest distance that it can travel

Can you show me the answer in the cone unfolded. I would be glad if you guys can show me the solution in a simple way because I am a high school student.

• Literally, another ant. – Invisible May 28 at 23:52
• – Invisible May 28 at 23:53
• Just look at all those pictures. – Invisible May 28 at 23:57
• Not to mention this. – Invisible May 29 at 0:00

Cut the cone along the segment $$AT$$. Unfolding, you get a sector of a circle. The apex $$T$$ of the cone becomes the center of the circle, and the point $$A$$ appears twice at opposite ends of the sector. The ant needs to go from one $$A$$ to the other $$A$$. Hints:
3. Now you know the shape of the circular sector, in particular the central angle of the sector. The shortest distance from one $$A$$ to the other $$A$$ will be a straight line.