document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135519>Question 1135519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a chord is drawn away from the centre  of a circle of radius 5cm.calculate the length of the chord <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753142 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> based on the following reference, i think you also need the central angle formed by the chord.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.ck12.org/trigonometry/Length-of-a-Chord/lesson/Length-of-a-Chord-TRIG/\" target = \"_blank\">https://www.ck12.org/trigonometry/Length-of-a-Chord/lesson/Length-of-a-Chord-TRIG/</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the reference uses radians, but the same concept applies with degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "otherwise, the length of the chord could be any length up to the length of the diameter which would, in this case, be equal to 10.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if you have the central angle, then you can find the length of the chord, because you can split the chord in half by taking a line segment from the center of the circle to intersect with the chord at a right angle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this splits the chord in half.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it also forms a two right triangles, each of which will have an angle equal to half the central angle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "then you can find the length of half the chord by using sine of half the angle equals half the length of the chord divided by the radius.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for half the length of the chord to be equal to the radius * half the central angle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "multiply that by two and you have the length of the chord.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "two examples:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the central angle is 90 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the central angle is 140 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "see the attached diagram and formula, assuming the radius is 5 centimeters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/022506.jpg\" alt=\"$$$\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );