The following figure shows a piece of paper that is 15 inches long. Peter folds it in half (along the dotted line) and then makes one cut so that when he unfolds the paper, a perfect circle has been cut out. If the circle's diameter equals one-third of the length of the paper, what was the length of the cut that Peter made?

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The following figure shows a piece of paper that is 15 inches long. Peter folds it in half (along the dotted line) and then makes one cut so that when he unfolds the paper, a perfect circle has been cut out. If the circle's diameter equals one-third of the length of the paper, what was the length of the cut that Peter made?<img alt='image' src='https://www.fatskills.com/images2/GED/9781119300984-fg0140.png' />