TITLE: Is it possible to divide a circle into $7$ equal "pizza slices" (using geometrical methods)?
QUESTION [14 upvotes]: Or is it possible to divide a circle into n equal "pizza slices" (I don't know how to call these parts, but I think you'll know what I mean), where n hasn't got a common divider with $360$? Or are the $360$ degrees just "arbitrarily" chosen, in such way that it's also possible to make a system with $7$ "degrees" in a circle?
The main question is actually if it's possible with a ruler and a pair of compasses to divide a circle into any number of slices, and if there's a condition for a number (e.g. a common divider with $360$ as I suggested) so it's possible to slice the circle in such a number of pieces.

REPLY [3 votes]: Divide it in half, then in half again, and one more time. You now have eight slices. 
One slice is the geometer's fee; the remaining seven slices belong to the customer.