document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129588>Question 1129588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "Two circles have the same center but one circle has a radius 6 cm greater than the other. The area of the inner circle is 221 cm2 less than the outer circle. What is the radius of the smaller circle in centimeters?\r<BR>\n" );
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document.write( "Round to 2 decimal place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746156 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two circles have the same center, but one circle has a radius 6 cm greater than the other.<BR>\n" );
document.write( " The area of the inner circle is 221 cm2 less than the outer circle.<BR>\n" );
document.write( " What is the radius of the smaller circle in centimeters? <BR>\n" );
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document.write( "let = the radius of the smaller circle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+6) = the radius of the larger<BR>\n" );
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document.write( "large area - small area = 221 sq?cm<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28r%2B6%29%5E2 ALIGN=MIDDLE  ALT=\"pi%2A%28r%2B6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 221<BR>\n" );
document.write( "FOIL (r+6)(r+6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28r%5E2+%2B+12r+%2B+36%29+-+pi%28r%5E2%29+ ALIGN=MIDDLE  ALT=\"pi%2A%28r%5E2+%2B+12r+%2B+36%29+-+pi%28r%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 221<BR>\n" );
document.write( "divide equation by pi<BR>\n" );
document.write( "r^2 + 12r + 36 - r^2 = 70.3465<BR>\n" );
document.write( "r^2 drops out<BR>\n" );
document.write( "12r + 36 = 70.3465<BR>\n" );
document.write( "12r = 70.3465 - 36<BR>\n" );
document.write( "12r = 34.3465<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34.3465%2F12 ALIGN=MIDDLE  ALT=\"34.3465%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 2.86 cm is the radius of the smaller circle<BR>\n" );
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document.write( "Check this, find actual area of each (larger radius = 8.86)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A8.86%5E2 ALIGN=MIDDLE  ALT=\"pi%2A8.86%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 246.61<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A2.86%5E2 ALIGN=MIDDLE  ALT=\"pi%2A2.86%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  25.70<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "difference in area: 220.9 ~ 221 </SPAN>\n" );
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