document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287595>Question 287595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square is inscribed inside a quadrant of a circle of radius 10 cm. Calculate the area 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 #208367 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonal of the square is the radius of the circle. The diagonal of the square is also the hypotenuse of an isosceles triangle. Let x be the length of the sides. Then by the Pythagorean Theorem we have:\r<BR>\n" );
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document.write( "x^2 + x^2 = 10^2 \r<BR>\n" );
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document.write( "2*x^2 = 100<BR>\n" );
document.write( "x^2 = 50\r<BR>\n" );
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document.write( "But x^2 is also the area of the square.<BR>\n" );
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