document.write( "Question 234482: a circular island of diameter 100 yards is surrounded by a concentric circular moat whose area equals that of the island .which of the following best approximates the width of the moat ?\r
\n" ); document.write( "\n" ); document.write( "a) 20 yards b) 30 yards c) 50 yards d)70 yards e) 100 yards
\n" ); document.write( "

Algebra.Com's Answer #172923 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
Area=pir^2=3.14*(100/2)^2=3.14*50^2=3.14*2,500=7,850 yds.^2
\n" ); document.write( "2*7,850=pir^2
\n" ); document.write( "15,700=3.14*r^2
\n" ); document.write( "r*2=15,700/3.14
\n" ); document.write( "r^2=5,000
\n" ); document.write( "x=sqrt5,000
\n" ); document.write( "x=70.71 yds. is the total radius of the island & the moat.
\n" ); document.write( "Width of the moat=50+x=70.71=20.71 yds. is the width of the moat.
\n" ); document.write( "Answer A)
\n" ); document.write( "
\n" );