document.write( "Question 107539: I need help finding the formula for this word problem:
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document.write( "A circular swimming pool is surrounded by a walkway that is 2 meters wide. Find the radius of the pool if the area of the walkway is 88 m2. (Let pi = 22/7) Hint: Do not substitute the fraction for pi until near the end of the problem.)\r
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document.write( "I can do the math, once I have an equation. THANK YOU so much for helping!\r
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document.write( "Regards,
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document.write( "KK \n" );
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Algebra.Com's Answer #78318 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A circular swimming pool is surrounded by a walkway that is 2 meters wide. Find the radius of the pool if the area of the walkway is 88 m2. (Let pi = 22/7) Hint: Do not substitute the fraction for pi until near the end of the problem.) \n" ); document.write( ": \n" ); document.write( "Let r = radius of the pool \n" ); document.write( "Circular area which include the walkway radius = (r+2): call it the big circle \n" ); document.write( ": \n" ); document.write( "Big circle area - pool area = 88 \n" ); document.write( "(pi*(r+2)^2) - (pi*r^2) = 88 \n" ); document.write( ": \n" ); document.write( "(pi(r^2 + 4r + 4)) - pi*r^2 = 88; FOILed (r+2)(r+2) \n" ); document.write( ": \n" ); document.write( "pi*r^2 + 4pi*r + 4*pi - pi*r^2 = 88 \n" ); document.write( " \n" ); document.write( " |