document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735112>Question 735112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the extremities of the diameter of a circle have coordinates(-4,3)and (6,-2). then the length of the intercept which the circle makes on the y-axis is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449279 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=449279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Step 1: Find the Midpoint (h,k) of AB:\r<BR>\n" );
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document.write( "h  =   A1 + B1 <BR>\n" );
document.write( "   2 \r<BR>\n" );
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document.write( "h  =   -4 + 6 <BR>\n" );
document.write( "   2 \r<BR>\n" );
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document.write( "h  =   2 <BR>\n" );
document.write( "   2 \r<BR>\n" );
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document.write( "h = 1\r<BR>\n" );
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document.write( "k  =   A2 + B2 <BR>\n" );
document.write( "   2 \r<BR>\n" );
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document.write( "k  =   3 + -2 <BR>\n" );
document.write( "   2 \r<BR>\n" );
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document.write( "k  =   1 <BR>\n" );
document.write( "   2 \r<BR>\n" );
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document.write( "k = 0.5<BR>\n" );
document.write( "From above, the center of our circle is (h, k) = (1, 0.5)\r<BR>\n" );
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document.write( "Calculate radius:<BR>\n" );
document.write( "r = Square Root((y1 - x1)2 + (y2 - x2)2)<BR>\n" );
document.write( "r = Square Root((6 - -4)2 + (-2 - 3)2)<BR>\n" );
document.write( "r = ½Square Root((102 + -52))<BR>\n" );
document.write( "r = ½&#8730;(100 + 25)<BR>\n" );
document.write( "r = ½&#8730;125<BR>\n" );
document.write( "r = ½&#8730;125<BR>\n" );
document.write( "r = ½(11.1803398875)<BR>\n" );
document.write( "r = 5.5902\r<BR>\n" );
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document.write( "Now calculate our circle equation using (h, k), and r<BR>\n" );
document.write( "Find the equation of the circle with center (h,k) = (1,0.5) and radius r = 5.5902<BR>\n" );
document.write( "The standard equation for a circle is (x - h)2 + (y - k)2 = r2\r<BR>\n" );
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document.write( "Plugging in our numbers, we get:<BR>\n" );
document.write( "(x - 1)2 + (y - 0.5)2 = 5.5902^2<BR>\n" );
document.write( "(x - 1)2 + (y - 0.5)2 = 31.25033604\r<BR>\n" );
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document.write( "plug x= 0\r<BR>\n" );
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document.write( "you will get two values of y\r<BR>\n" );
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document.write( "add up the two intercepts to get the length of the chord </SPAN>\n" );
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