document.write( "Question 935422: A wheel whose radius measures 16 inches is rotated. If a point on the circumference of the wheel moves through an arc of 12 feet what is the measure in radians of the angle through which a spoke of the wheel travels \n" ); document.write( "

Algebra.Com's Answer #568628 by TimothyLamb(4379) $\"\"$ $\"About$

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c = 2*pi*r
\n" ); document.write( "c = 2*3.1415*(16/12)
\n" ); document.write( "c = 8.37733333333 feet
\n" ); document.write( "---
\n" ); document.write( "arc length in circumferences:
\n" ); document.write( "12/c = 12/8.37733333333 = 1.43243673404 circumferences
\n" ); document.write( "---
\n" ); document.write( "arc length in radians:
\n" ); document.write( "2pi radians/c
\n" ); document.write( "---
\n" ); document.write( "1.43243673404 c * (2*3.1415 radians/c) = 9 radians
\n" ); document.write( "---
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