Question 674149
the wheel of a bicycle has a diameter of 26 inches find the radian angle that the wheel turns when the bicycle turns 15 ft.
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circumference of wheel=π*diameter=26π in
For each revolution wheel turns 26π in
rev/26π in*12 in/ft*2π radians/rev*15 ft
rev, π, in, ft cancel out
leaving: 12*2*15/26 ≈13.8 radians or 13.8/2π≈2.2 turns
angle that the wheel turns when the bicycle turns 15 ft=13.8 radians