document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255269>Question 255269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle is inscribed in a given square and another circle is circumscribed about the same square. If the area of the circumscribed circle is 4, what is the area of the inscribed circle?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187829 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=187829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A circle is inscribed in a given square and another circle is circumscribed about the same square.<BR>\n" );
document.write( " If the area of the circumscribed circle is 4, what is the area of the inscribed circle? <BR>\n" );
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document.write( "Find the radius of the outer circle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2+=+4 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+4%2Fpi ALIGN=MIDDLE  ALT=\"r%5E2+=+4%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2Fpi%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the radius of the large circle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "diameter = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%284%2Fpi%29 ALIGN=MIDDLE  ALT=\"2sqrt%284%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "This is also the diagonal of the square<BR>\n" );
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document.write( "Find the square dimensions using this as the diagonal(a^2 + b^2 = c^2)<BR>\n" );
document.write( "Find the sides of the square. (s = the side of the square)<BR>\n" );
document.write( "s^2 + s^2 = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%284%2Fpi%29 ALIGN=MIDDLE  ALT=\"2sqrt%284%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)^2<BR>\n" );
document.write( "2s^2 = 4(4/pi)<BR>\n" );
document.write( "s^2 = 2(4/pi)<BR>\n" );
document.write( "s^2 = 8/pi, <BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%2Fpi%29 ALIGN=MIDDLE  ALT=\"sqrt%288%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%282%2Fpi%29 ALIGN=MIDDLE  ALT=\"2sqrt%282%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the side of the square<BR>\n" );
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document.write( "This is also the diameter of the small circles, therefore<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2Fpi%29 ALIGN=MIDDLE  ALT=\"sqrt%282%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (half the diameter)<BR>\n" );
document.write( "r^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Fpi%29 ALIGN=MIDDLE  ALT=\"%282%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the area of the small circle<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi+%2A+%282%2Fpi%29 ALIGN=MIDDLE  ALT=\"pi+%2A+%282%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 2 sq/cm; area of the small circle\r<BR>\n" );
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