document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810651>Question 810651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a circle having it's diameter the line segment joining the points (3,7) and (-5,1).\r<BR>\n" );
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document.write( "Can you please help me out? Thanks so much in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488313 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=488313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a circle having it's diameter the line segment joining the points (3,7) and (-5,1). <BR>\n" );
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document.write( "Find the midpoint (center of the circle).<BR>\n" );
document.write( "x = (3+-5)/2 = -1<BR>\n" );
document.write( "y = (7+1)/2 = 4<BR>\n" );
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document.write( "Center is (-1,4)<BR>\n" );
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document.write( "Find the radius (distance from end point to center):<BR>\n" );
document.write( "r = sqrt[(3--1)^2+(7-4)^2] = sqrt[16+9] = 5<BR>\n" );
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document.write( "Circle Equation:<BR>\n" );
document.write( "(x+1)^2 + (y-4)^2 = 5^2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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