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So, true story:

I made a large circular tortilla.

Ate half of it. Then decided to put the rest into the fridge on a smaller plate.I raised the knife to cut the remaining semi-circle in two, and then went : "Hmmmmmmmm...".

Anyway, it's in the fridge now with an approximate solution, but I'm wondering if anyone knows the mathematical one?

I'm wondering if there are 3 different optimal solutions:

1) In which the straight-line cut necessarily is from the center of the original circle to the edge. I.e. a radius.

2) In which the straight-line cut may divide the semi-circle in any possible way.

3) In which the cut is not necessarily a straight line.

Thanks in advance if anyone can offer a demonstration.

I made a large circular tortilla.

Ate half of it. Then decided to put the rest into the fridge on a smaller plate.I raised the knife to cut the remaining semi-circle in two, and then went : "Hmmmmmmmm...".

Anyway, it's in the fridge now with an approximate solution, but I'm wondering if anyone knows the mathematical one?

I'm wondering if there are 3 different optimal solutions:

1) In which the straight-line cut necessarily is from the center of the original circle to the edge. I.e. a radius.

2) In which the straight-line cut may divide the semi-circle in any possible way.

3) In which the cut is not necessarily a straight line.

Thanks in advance if anyone can offer a demonstration.

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