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document.write( "Two circles have the same center but one circle has a radius 5 cm greater than the other. The area of the inner circle is 228 cm2 less than the outer circle. What is the radius of the smaller circle in centimeters?\r
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Algebra.Com's Answer #745431 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Radius of smaller is x \n" ); document.write( "of larger is x+5 \n" ); document.write( "area of smaller/inner is pi*x^2 \n" ); document.write( "area of larger is pi(x^2+10x+25) \n" ); document.write( "smaller + 228 cm^2=larger \n" ); document.write( "so pi(x^2)+228=pix^2+pi(10x+pi*25) \n" ); document.write( "228=pi(10x+25) \n" ); document.write( "72.57=10x+25 \n" ); document.write( "10x=47.57 \n" ); document.write( "x=4.76 cm radius smaller circle with area 71.18 cm^2 ANSWER \n" ); document.write( "x+5=9.76 cm radius larger circle with area 299.26 cm^2, 228 cm^2 larger given rounding. \n" ); document.write( " |