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)\"\" \"About 
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( "
\n" );