The Legend of Carthage: Queen Dido and her followers arrived in North Africa.
The locals told them that they could have the coastal area that an ox hide would cover.
She cut the hide into a series of thin strips, jointed them together, and formed a coastal shape.
The ox-hide enclosed area was known as Carthage.
If you had a 10 miles long strip, which shape would you choose to maximize the enclosed area?
Suppose that the coast is a round peninsula with the radius of 10 miles.