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.
2026-03-26 11:04:31.1774523071
Right circular cone shortest distance question from a junior high school st.
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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:
Determine the radius of the circle.
What fraction of the full circle does this sector represent? Hint: The base of the cone, when unwrapped, lives on the circumference of this circle.
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.