document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969666>Question 969666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the diameter of a circle is 100 cm, and a chord of the circle is 80 cm long. What is 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 #592477 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=592477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the diameter of a circle is 100 cm, and a chord of the circle is 80 cm long. What is the distance between the chord and the center of the circle?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=distance between the chord and the center of the circle<BR>\n" );
document.write( "If you draw a diagram for this problem, you will see a right triangle with x as one of the legs, half of the chord as the other leg and the radius becomes the hypotenuse.<BR>\n" );
document.write( "By the pathagorean theorem:<BR>\n" );
document.write( "x=&#8730;(50^2-40^2)=&#8730;2500-1600=&#8730;900=30<BR>\n" );
document.write( "distance between the chord and the center of the circle=30 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );