document.write( "Question 368712: Find S if r=2 inches and theta=12 degrees \n" ); document.write( "
Algebra.Com's Answer #262695 by neatmath(302)![]() ![]() You can put this solution on YOUR website! The arc length s is given by the radius times the angle theta, or \r \n" ); document.write( "\n" ); document.write( "s=r*theta \r \n" ); document.write( "\n" ); document.write( "But the key to this problem is that we need to know the measure of theta in RADIANS! \r \n" ); document.write( "\n" ); document.write( "So 12 degrees equals how many radians? \r \n" ); document.write( "\n" ); document.write( "12 degrees = [(pi/180)*12]radians or \r \n" ); document.write( "\n" ); document.write( "theta=pi/15 radians \r \n" ); document.write( "\n" ); document.write( "So, our arc length is given by \r \n" ); document.write( "\n" ); document.write( "s=r*theta \r \n" ); document.write( "\n" ); document.write( "s=2*(pi/15) \r \n" ); document.write( "\n" ); document.write( "s=(2*pi)/15 inches \r \n" ); document.write( "\n" ); document.write( "which you can approximate using the value of 3.1415926... for pi. \r \n" ); document.write( "\n" ); document.write( "I hope this helps! \n" ); document.write( " |