document.write( "Question 66857This question is from textbook Advanced mathematics
\n" ); document.write( ": The tiger trotted through an arc of pi/6 radians along a circular arc of radius 1000 feet. How far did the tiger trot?
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Algebra.Com's Answer #47563 by ptaylor(2198)\"\" \"About 
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The tiger trotted through an arc of pi/6 radians along a circular arc of radius 1000 feet. How far did the tiger trot?\r
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\n" ); document.write( "\n" ); document.write( "Diameter of the circle is 2000ft
\n" ); document.write( "C=pi(D)=2000pi feet\r
\n" ); document.write( "\n" ); document.write( "A circle contains 2pi radians. So we can set up a ratio\r
\n" ); document.write( "\n" ); document.write( "2pi is to 2000pi as pi/6 is to x\r
\n" ); document.write( "\n" ); document.write( "2pi/2000pi=(pi/6)/x the left side reduces:\r
\n" ); document.write( "\n" ); document.write( "1/1000=(pi/6)/x multiply both sides by x
\n" ); document.write( "x/1000=pi/6 multiply through by 6000
\n" ); document.write( "6x=1000pi
\n" ); document.write( "x=166.6667 (3.14)=523.3333ft\r
\n" ); document.write( "\n" ); document.write( "Another way to look at it:\r
\n" ); document.write( "\n" ); document.write( "pi/6 radians =30 degrees which projects an arc equal to 1/12 the circumference of the circle:\r
\n" ); document.write( "\n" ); document.write( "1/12(2000pi)=166.667pi=523.3333ft\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps------ptaylor\r
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