Chapt. 4Two- and Three-Dimensional Kinematics37004 qmult 00412 1 4 2 easy deducto-memory: radians in a circle 2Extra keywords:mathematical physics17. “Let’s playJeopardy! For $100, the answer is: 2π.”What is, Alex?a) the number of degrees in a circleb) the number of radians in a circlec) twice thenumber of radians in a circled) twice the number of degrees in a circlee) cherryand blueberry004 qmult 00420 1 5 1 easy thinking: 24 factors in 36018. The division of the circle into 360◦was an arbitrary choice—and we don’t know why. We justknow the ancient Mesopotamian mathematicians and astronomers did it this way—you knowMesopotamia—ancient Iraq: “the cradle of civilization”. Their choice was just adopted by theancient Greeks and got passed on to us. In the French Revolutionary epoch, the decimal systemwas adopted for most measures, but the revolutionaries didn’t get around (you might say) tothe circle. We can guess that one reasons is that the ancient Mesopotamians had a preferencefor whole number arithmetic particularly in division and 360 has a lot of whole number factors.How many whole number (i.e., integer) factors does 360 have counting 1 and 360 itself?
This is the end of the preview.
access the rest of the document.