a wheel whose radius measures 16 inches is rotated. If a point on the circumference of the wheel moves through an arch of 12 feet, what is the measure, in radians, of the angle through which a spoke of the wheel travels?

Question

anonymous · Answer

12/(32π )=angle/2π

anonymous · Answer

part of the circumference/circumference = central angle / 2π (or 360º, if you need degrees)

anonymous · Answer

got it?

anonymous · Answer

isn't the answer suppose to be 9? 
that's whats on the answer key.

anonymous · Answer

hmmm ... hold on

anonymous · Answer

what math are you in?

anonymous · Answer

trigonometry

anonymous · Answer

makes no sense ... 9 radians- that is more than one complete rotation.. .

anonymous · Answer

we have 2π radians in a circle

anonymous · Answer

that's ~6.28 radians

anonymous · Answer

do you have all the info ? a pic ?

anonymous · Answer

32π ft = 1 full rotation > 12 ft

anonymous · Answer

i understand how you're doing it. I just dont get why the answer on the textbook is 9.

anonymous · Answer

does it say radians in the book?

anonymous · Answer

damn ...my bad one is in feet and one in inches .... duh

anonymous · Answer

convert

anonymous · Answer

yupp. the problem is written on the book just like i wrote it here.

anonymous · Answer

got it ...is 9

anonymous · Answer

formula is ok though

anonymous · Answer

yess. thank you for your help. :)

anonymous · Answer

careful with conversions ...tricky !

anonymous · Answer

you're welcome