document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248158>Question 248158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the locus of the midpoints of all chords of length 4 in a given circle with radius of length 3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180872 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=180872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine a chord of length 4 inside a circle with radius 3.<BR>\n" );
document.write( "Now draw lines from the two chord endpoints to the center of the circle.<BR>\n" );
document.write( "You see that you have an isosceles triangle. <BR>\n" );
document.write( "Draw in the radius that intersects the chord midpoint.<BR>\n" );
document.write( "Now you have two triangles, each is a right triangle with a hypotenuse of 3 and one side of 2. <BR>\n" );
document.write( "Use the Pythagorean theorem to solve for the third side. <-- keep this value \r<BR>\n" );
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document.write( "Now imagine \"sliding\" that chord around inside the circle. What pattern does the midpoint make? \r<BR>\n" );
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document.write( "So there you have it, You have a circle around the same center, but with radius of the length you solved for above.\r<BR>\n" );
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document.write( "Get it? </SPAN>\n" );
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