document.write( "Question 739949: This problem includes \"Pie\"=3.14. I can't find a way to symbolize \"pie\". I hope this doesn't affect your ability to help. Also this is part of factoring polynomials.\r
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document.write( "\"The sum of the areas of two circles is 169pie square inches. the length of a radius of the smaller circle is 7 inches less than the length of a radius of the larger circle. Find the length of the larger circle.\"\r
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document.write( "I am not sure how to set this problem up to solve it. I don't remember how to find the area of a circle.\r
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document.write( "Any step by step help would be appreciated. thank you! \n" );
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Algebra.Com's Answer #451421 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! \"The sum of the areas of two circles is 169pie square inches. the length of a radius of the smaller circle is 7 inches less than the length of a radius of the larger circle. Find the length of a radius of the larger circle.\" \n" ); document.write( "*** \n" ); document.write( "area of a circle=πr^2 \n" ); document.write( "let r=radius of larger circle \n" ); document.write( "area of larger circle=πr^2 \n" ); document.write( "r-7=radius of smaller circle \n" ); document.write( "area of smaller circle=π(r-7)^2 \n" ); document.write( "sum of the areas of two circles is 169pie square inches \n" ); document.write( "πr^2+π(r-7)^2=169π \n" ); document.write( "factor out π \n" ); document.write( "r^2+(r-7)^2=169 \n" ); document.write( "r^2+r^2-14r+49=169 \n" ); document.write( "2r^2-14r-120=0 \n" ); document.write( "r^2-7r-60=0 \n" ); document.write( "(r+5)(r-12)=0 \n" ); document.write( "r=-5 (reject, r>0) \n" ); document.write( "or \n" ); document.write( "r=12 \n" ); document.write( "r-7=5 \n" ); document.write( "radius of larger circle=12 sq in \n" ); document.write( "radius of smaller circle=5 sq in \n" ); document.write( " |