document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769706>Question 769706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the diameter of a circle is 90 inches long and a chord is 54 inches long. Find the distance between the chord and the center of the circle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468995 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468995\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider a right angled triangle.<BR>\n" );
document.write( "The radius (half the diameter = 45ins)<BR>\n" );
document.write( "is the hypotenuse.<BR>\n" );
document.write( "And half of the chord is the base of<BR>\n" );
document.write( "the right angled triangle = 27ins.<BR>\n" );
document.write( "The distance from the centre is<BR>\n" );
document.write( "represented by the vertical side <BR>\n" );
document.write( "of the triangle<BR>\n" );
document.write( "Vertical side^2 + Base side^2 = Radius^2<BR>\n" );
document.write( "Vertical side^2 = Radius^2 - Base side^2<BR>\n" );
document.write( "Vertical side^2 = 45^2 - 27^2<BR>\n" );
document.write( "Vertical side^2 = 1296<BR>\n" );
document.write( "Vertical side = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281296%29 ALIGN=MIDDLE  ALT=\"sqrt%281296%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distance chord and centre = 36ins<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );