document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924004>Question 924004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I just want to check if my answer is correct.\r<BR>\n" );
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document.write( "Problem: The center of the circle is at (-3,-2). If a chord of length 4 is bisected at (3,1), find the length of the radius.\r<BR>\n" );
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document.write( "My answer is: 3&#8730;6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560620 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=560620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> based on the following, your radius has to be perpendicular to the chord.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.regentsprep.org/regents/math/geometry/gp14/circlechords.htm\" target = \"_blank\">http://www.regentsprep.org/regents/math/geometry/gp14/circlechords.htm</a>\r<BR>\n" );
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document.write( "so you get a triangle formed by the radius of the circle and the chord such that the ends of the chord that connect to the center of the circle are each a radius of the circle.\r<BR>\n" );
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document.write( "the chord is 4 units in length.\r<BR>\n" );
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document.write( "two right triangles are formed with each right triangle having a base of 2 which is 1/2 the length of the chord.\r<BR>\n" );
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document.write( "the length of the line segment formed by the radius that bisects the chord is found by taking the 2 points common to that radius and finding the distance between them.\r<BR>\n" );
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document.write( "the two points are (-3,-2) and (3,1)\r<BR>\n" );
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document.write( "the distance between them will be square root of [(-2-1)^2 + (-3-3)^2] which becomes square root of [9 + 36] which becomes square root of (45).\r<BR>\n" );
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document.write( "your right triangle has one leg of 2 and one leg of sqrt(45)\r<BR>\n" );
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document.write( "to find the hypotenuse of the right triangle which is the radius of the circle, you need to use the pythagorean formula.\r<BR>\n" );
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document.write( "you will get r^2 = 2^2 + sqrt(45)^2\r<BR>\n" );
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document.write( "that becomes r^2 = 4 + 45 which makes r^2 = 49 which makes r = 7.\r<BR>\n" );
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document.write( "the radius of your circle has to be 7.\r<BR>\n" );
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document.write( "the equation of your circle becomes:\r<BR>\n" );
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document.write( "(x+3)^2 + (y + 2)^2 = 49\r<BR>\n" );
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document.write( "a graph of the circle and the chord and the radius that bisects the chord is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/111605.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "all the numbers check out.\r<BR>\n" );
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document.write( "the radius is 7<BR>\n" );
document.write( "each sice of the chord that is bisected by the radius has a length of 2.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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