document.write( "Question 31160: A 6-foot-diameter disk and an 18-foot-diameter disk sit side by side. Determine the shortest length of rope that will go around both disks.
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document.write( " my answer below is different from a friends with a program to figure it out. i am concerned that i am not doing it right.\r
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document.write( "For circles that are externally tangent the line of centers=the length of the sum of both radii= common external tangents\r
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document.write( "Line of centers 3+9=12
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document.write( "Common external tangents=12*2=24\r
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document.write( "60 degrees because we will create a equilateral triangle\r
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document.write( "Arc 1
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document.write( "Degrees (pi/180) r
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document.write( "60(3.14/180) 3
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document.write( "3.14\r
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document.write( "Arc 2
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document.write( "60(3.14/180) 9
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document.write( "9.42\r
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document.write( "Common external tangents+Arc 1+Arc2
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document.write( "24+3.14+9.42
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document.write( "36.56 \n" );
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Algebra.Com's Answer #18074 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! GOOD TO SEE YOUR KEEN DESIRE TO DO BY YOUR SELF INSTEAD OF GOING BY A PROGRAMME \n" ); document.write( "SEE THE FOLLOWING DRAWING.IT IS SELF EXPLANATORY I SUPPOSE. LET US PROCEED FROM WHERE YOU ALREADY WORKED. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "LET US ESTIMATE HALF THE LENGTH NAMELY AFGE AND DOUBLE IT TO GET THE TOTAL LENGTH. \n" ); document.write( "ARC AF =2*PI*3*60/360=3.14 \n" ); document.write( "FG=COMMON TANGENT \n" ); document.write( "FG=BK=SQRT.{(9+3)^2-(9-3)^2}=SQRT.108=10.39 \n" ); document.write( "ARC GE=2*PI*9*120/360=18.84 \n" ); document.write( "TOTAL=ARC AF+FG+ARC GE = 3.14+10.39+18.84=32.37 \n" ); document.write( "TOTAL LENGTH=2*32.37=64.74 \n" ); document.write( " HOPE YOU KNOW HOW WE GOT 60 DEGREES AS SECTOR ANGLE!!!OTHERWISE I SHALL EXPLAIN YOU ON HEARING FROM YOU. \n" ); document.write( " \n" ); document.write( " |