document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325280>Question 325280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A two-dimesional, silo-shaped figure is formed by placing a semicircle of diameter 1 on top of a unit square, with the diameter coinciding with the top of the square. What is the radius of the smallest circle that contains this figure? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232963 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=232963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw the semi-circle about the origin, x^2 + y^2 = 0.25<BR>\n" );
document.write( "The top point is (0,0.5)<BR>\n" );
document.write( "Draw the square under it.  The corners are (-0.5,-1) and (0.5,-1)<BR>\n" );
document.write( "The 3 points make an isoceles triangle.  The base is 1.<BR>\n" );
document.write( "The 2 equal sides are sqrt(0.5^2 + 1.5^2)<BR>\n" );
document.write( "= sqrt(2.5) = sqrt(10)/2<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "R = a^2b/4K  K = area<BR>\n" );
document.write( "K = bh/2 = 1*1.5/2 = 3/4<BR>\n" );
document.write( "R = (10/4)*1/3 = 5/6 units<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The circle is (x)^2 + (y+1/3)^2 = (5/6)^2 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );