document.write( "Question 1022147: A central angle of a circle that measures n/3 rads intercepts an arc that is 6 cm. What is the radius of the circle? \n" ); document.write( "
Algebra.Com's Answer #637907 by FrankM(1040)![]() ![]() You can put this solution on YOUR website! ![]() \n" ); document.write( "\n" ); document.write( "The important thing is to understand clearly what a radian is. By definition, it's the angle that will produce a subtended arc equal in length to the radius. \r \n" ); document.write( "\n" ); document.write( "Your angle n/3 rad produces a 6 cm arc. \r \n" ); document.write( "\n" ); document.write( "We just need to solve for \"what arc would 1 radian subtend?\" as that's exactly the radius your looking to solve.\r \n" ); document.write( "\n" ); document.write( "(3/n) (n/3) rad = 6 cm (3/n)\r \n" ); document.write( "\n" ); document.write( "1 rad = 18/n cm. \n" ); document.write( " |