document.write( "Question 487628: A circle is divided into 4 arcs of lengths 2,5,6 and x. arc 2 has a measure of 30 degrees. find x
\n" ); document.write( "A 8
\n" ); document.write( "B 9
\n" ); document.write( "C 10
\n" ); document.write( "D 11
\n" ); document.write( "

Algebra.Com's Answer #333093 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
A circle is divided into 4 arcs of lengths 2,5,6 and x. arc 2 has a measure of 30 degrees. find x
\n" ); document.write( "***
\n" ); document.write( "arc length=radius*central angle in radians
\n" ); document.write( "30º=π/6 radians
\n" ); document.write( "2=radius*π/6
\n" ); document.write( "radius=12/π
\n" ); document.write( "..
\n" ); document.write( "Circumference=2π*radius=2π*12/π=24
\n" ); document.write( "sum of 4 arcs=24
\n" ); document.write( "2+5+6+x=24
\n" ); document.write( "13+x=24
\n" ); document.write( "x=24-13=11
\n" ); document.write( "ans: D 11
\n" ); document.write( "
\n" );