I have a geometry math problem

[Joudkandeel]

The question is:
if the ant are not allowed to cross it's own path, the radius of the circular arcs cannot have any lengths. Examine which radius are possible in a square with a side of 12 cm

 

[Dr.Peterson]

View attachment 32663The question is:
if the ant are not allowed to cross it's own path, the radius of the circular arcs cannot have any lengths. Examine which radius are possible in a square with a side of 12 cm

Please tell us your thoughts about the problem. What is the largest radius for the larger arc such that it does not intersect the other?

 

[Joudkandeel]

sorry i didn't get

 

[Dr.Peterson]

What do you get? We need a place to start.

Perhaps you can try drawing another path of this type, with different radii, and see if you can make one in which the path doesn't cross itself.

Or, tell us your understanding of what the problem is asking you to do, so we can see if there is a misunderstanding. The problem is not stated very fully!

 

[The Highlander]

sorry i didn't get

The circles shown appear to have been drawn with their centres at the square's vertices (corners).
Do you see that the two larger ones cross each other because their radii are greater than half the length of the square's diagonal?
How would you adjust their radii so that they no longer crossed each other?
What effect might that have on any space left for other circles to be drawn?
What if you positioned circles' centres away from the vertices?

Show us some of your efforts to solve the problem.
Please also show the complete question (it does not have to be in English) we just need to see everything that was presented to you. ?