document.write( "Question 726620: If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc? \n" ); document.write( "
Algebra.Com's Answer #444678 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc? \n" ); document.write( "---- \n" ); document.write( "Using radian meansure \n" ); document.write( "theta = (arc length)/radius \n" ); document.write( "--- \n" ); document.write( "arc length = radius*theta \n" ); document.write( "---- \n" ); document.write( "Your Problem: \n" ); document.write( "120 degrees = 120(pi/180) = (2/3)pi radians \n" ); document.write( "---- \n" ); document.write( "circumference = 2pi*r \n" ); document.write( "24 = 2pi*r \n" ); document.write( "r = 12/pi \n" ); document.write( "------------- \n" ); document.write( "arc length = (12/pi)(2/3)pi = 8 units \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " |