document.write( "Question 449536: The arc length of a sector of a circle is 8π cm. If the circle has a radius 20π cm, what is the measure of the central angle of the sector? \n" ); document.write( "
Algebra.Com's Answer #309235 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The arc length of a sector of a circle is 8π cm. If the circle has a radius 20π cm, what is the measure of the central angle of the sector? \n" ); document.write( "----------- \n" ); document.write( "Circumference of the circle = 2(pi)r = 2(pi)(20pi) = 40pi^2 cm \n" ); document.write( "------------------------------- \n" ); document.write( "Let measure of centeral angle be \"x\": \n" ); document.write( "Solve: \n" ); document.write( "x/20pi = 360/40pi^2 \n" ); document.write( "---------- \n" ); document.write( "x = (20pi)[360/40pi^2] \n" ); document.write( "--- \n" ); document.write( "x = 180/pi degrees ~ 57.30 degrees \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |