Dudeney's Christmas Pudding Puzzle

lthmath posted this old classic puzzle from Henry Dudeney. Can you cut the pudding (treated as a disk) into two congruent pieces without cutting a plum? [br][br]This gives away a bit of a solution by providing the symmetry, but it's still pretty tricky.[br][br]Much better than Banach & Tarski's pudding puzzle, let me tell you!

Information: Dudeney's Christmas Pudding Puzzle