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~2cm x 5cm seems reasonable for the tip of a ballet shoe, so I'd say about 10 to 15cm^2.

https://en.wikipedia.org/wiki/Pointe_shoe



That part of a pointe shoe is called the platform it’s size and shape varies greatly based on the type and size of the shoe and the box (the part of the shoe where your toes sit in).

For most pointe shoes with a rounded platform there is much less than 10cm squared of contact.




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