Among the atlantic revolutions, why is the french revolution considered to be the more radical than the american revolution?

The French Revolution was wy more violent. In the French Revolution they were beheading and killing monarchs and aristocrats while the U.S one wrote a Declaration of Independence. The guillotine was made specifically in the French Revolution for the main purpose of killings the upper class. So many more people died in the French Revolution and it was the first time that a country had reacted so violently to their government. There was even a cult dedicated to the French Revolution and so many people in the underclass were killed either because they were not radical enough or because they would help the aristocrats escape