document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255757>Question 255757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188017 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=188017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form?<BR>\n" );
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document.write( "Find the center and the radius.<BR>\n" );
document.write( "Center:<BR>\n" );
document.write( "x = (-4+2)/2 = -1<BR>\n" );
document.write( "y = (7-1)/2 = 3<BR>\n" );
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document.write( "Radius:<BR>\n" );
document.write( "d = sqrt[(-4-2)^2 + (7--1)^2]<BR>\n" );
document.write( "d = sqrt[36 + 64]<BR>\n" );
document.write( "d = sqrt(100)<BR>\n" );
document.write( "d = 10<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(x+1)^2 + (y-3)^2 = 10^2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );