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
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document.write( "a) 20 yards b) 30 yards c) 50 yards d)70 yards e) 100 yards \n" );
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Algebra.Com's Answer #172923 by checkley77(12844)![]() ![]() ![]() 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( " |