If a wheel of radius R revolves 1/2 a turn, how many radians does it turn through?
- 2pi radians
- 2R^2 radians
- pi radians
Explanation
A full revolution of a circle is 2*pi radians, so one half turn is half of that, which equals pi radians. The radius R does not affect the angle swept; it only affects the linear distance the rim travels, so options involving R are incorrect.
sherrykhan asking:
im not understanding this question
Community Comments (3)
360 degrees (1 wheel turn) = 2π radians, so 1/2 of turn is π radians.
http://en.wikipedia.org/wiki/Radian
22/7×2= 6.28π Radians, or 2π, or 360° 3.14159265359×2= 6.28π
√2+√3= ~π
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