document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11418>Question 11418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HOW DO I FIND THE EQUATION OF A CIRCLE WHERE THE CENTER IS (-3, 4) AND A POINT ON THE EDGE IS (4, 6). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5911 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=5911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You use the standard form for the equation of a circle with center at (h, k) and radius of r.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You know where the center is: (-3, 4) so that h = -3 and k = 4 Plug these into the formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28-3%29%29%5E2+%2B+%28y-4%29%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"%28x-%28-3%29%29%5E2+%2B+%28y-4%29%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2+%2B+%28y-4%29%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2+%2B+%28y-4%29%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you need to find the radius r.\r<BR>\n" );
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document.write( "The radius is just the distance form the circle center to a point on the circumference.  You have the location of the center (-3, 4) and the location of a point on the circumference (4, 6).\r<BR>\n" );
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document.write( "You can use the distance formula to find the length of the radius using these two points:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%284-%28-3%29%29%5E2+%2B+%286-4%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%284-%28-3%29%29%5E2+%2B+%286-4%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%287%5E2+%2B+2%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%287%5E2+%2B+2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%2849+%2B+4%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%2849+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%2853%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%2853%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the length of the radius r, but you really want r^2, so you will square both sides of this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+53 ALIGN=MIDDLE  ALT=\"d%5E2+=+53\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equation for your circle is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2+%2B+%28y-4%29%5E2+=+53 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2+%2B+%28y-4%29%5E2+=+53\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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