document.write( "Question 38934: a sector of a circle has area 8.1pi cm squared and central angle 36 degrees. find its radius and arc length. \n" ); document.write( "
Algebra.Com's Answer #24389 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Well a sector of 36 degrees represents 1/10 of a circle...so the entire circle's area would be 81(pi)...setting that equal to the formula for area, we get
\n" ); document.write( "81(pi) = (pi)r^2
\n" ); document.write( "r^2 = 81
\n" ); document.write( "r = 9
\n" ); document.write( "Now the entire circumference is 2(pi)r = 18(pi), but we are talking about only 1/10 of a circle, thus the arc length is 1/10 of 18(pi), or 1.8(pi).
\n" ); document.write( "
\n" );