document.write( "Question 174100: Hello, I have a question that im extremely stuck on.The question is as follows:- A circular pool has a radius r. It is surrounded by a path which is 2 metres wide. Work out a formula for the area of the path and give its area when r=2.5 metres.Please could you show the step by step guide on how i would work this out.Many thanks \n" ); document.write( "
Algebra.Com's Answer #128986 by Alan3354(69443)\"\" \"About 
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A circular pool has a radius r. It is surrounded by a path which is 2 metres wide. Work out a formula for the area of the path and give its area when r=2.5 metres.Please could you show the step by step guide on how i would work this out.Many thanks
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\n" ); document.write( "The area of the path is the area of the outside circle, minus the area of the inside circle (called an annulus).
\n" ); document.write( "The inside circle is the pool, radius r. The outide circle has a radius of r+2.
\n" ); document.write( "Area outside = \"pi%2A%28r%2B2%29%5E2\"
\n" ); document.write( "Area inside = \"pi%2Ar%5E2\"
\n" ); document.write( "AO - AI = \"pi%28r%2B2%29%5E2+-+pi%2Ar%5E2\"
\n" ); document.write( "= \"pi%2A%28%28r%5E2+%2B+4r+%2B+4%29+-r%5E2%29\"
\n" ); document.write( "= \"pi%2A%284r%2B4%29\"
\n" ); document.write( "--------
\n" ); document.write( "For r=2.5:
\n" ); document.write( "= pi*(10 + 4)
\n" ); document.write( "= 14*pi
\n" ); document.write( "=~ 43.98 sq meters\r
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