document.write( "Question 33486: In the diagram, the length of Arc AB is (3y-9)times pi. What is the value of y?
\n" ); document.write( " The circle's center from a to b is 144 degrees and has a radius of 12. \r
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\n" ); document.write( "\n" ); document.write( " It is hard to explain a question when you cant draw a picture. sorry
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Algebra.Com's Answer #19916 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
The length of an arc, S is given by S=rA where r is the radius and A is the angle IN RADIANS:\r
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\n" ); document.write( "\n" ); document.write( "So, we have 144 degrees. What is this in radians?\r
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\n" ); document.write( "\n" ); document.write( "Start with one thing you NEED to learn:
\n" ); document.write( "360 degree = 2 \"pi\" radians
\n" ); document.write( "--> 1 degree = \"+%282%2Api%29%2F360+\" radians
\n" ); document.write( "--> 144 degrees = \"+144%2A%28%282%2Api%29%2F360%29+\" radians\r
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\n" ); document.write( "\n" ); document.write( "You can simplify this out a bit if you wish here:
\n" ); document.write( "\"+144%2A%28%28pi%29%2F180%29+\"
\n" ); document.write( "\"+%284%2Api%29%2F5+\"\r
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\n" ); document.write( "\n" ); document.write( "Right then, S=rA
\n" ); document.write( "--> \"+S+=+12%2A%284%2Api%29%2F5+\"
\n" ); document.write( "--> \"+S+=+%2848%2Api%29%2F5+\"\r
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\n" ); document.write( "\n" ); document.write( "So, this is equivalent to \"+%283y-9%29%2Api+\"\r
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\n" ); document.write( "\n" ); document.write( "so, \"+%2848%2Api%29%2F5+=+%283y-9%29%2Api+\"
\n" ); document.write( "\"+48%2F5+=+3y-9+\"
\n" ); document.write( "\"+48+=+5%283y-9%29+\"
\n" ); document.write( "\"+48+=+15y-45+\"
\n" ); document.write( "\"+93+=+15y+\"
\n" ); document.write( "--> y = 6.2\r
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\n" ); document.write( "\n" ); document.write( "jon.
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