document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170537>Question 170537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square is inscribed in a circle whose diameter is 10 cm. Find the length of the side of the square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125909 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=125909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A square is inscribed in a circle whose diameter is 10 cm. Find the length of the side of the square.<BR>\n" );
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document.write( "The diagonal of the square is the diameter of the circle, = 10 cm.<BR>\n" );
document.write( "The diagonal makes a 45 deg angle with the side, so the side is 10*sin(45)<BR>\n" );
document.write( "= 5*sqrt(2) cm =~7.07 cm<BR>\n" );
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document.write( "Using Pythagoras, the 2 sides are equal, so<BR>\n" );
document.write( "d^2 = a^2 + a^2 (diagonal d, sides a)<BR>\n" );
document.write( "100 = 2a^2<BR>\n" );
document.write( "a = sqrt(50) = 5*sqrt(2)  same answer.\r<BR>\n" );
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