document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166148>Question 166148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the points (-2,5),(-2,-1) and (4,-1) all lie on a circle whose center is at (1,2). Find the length of the radius. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122488 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=122488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> since C(1,2) is the center if all lie on the circle then the distance between each point and C should be equal and would be the length of the radius.<BR>\n" );
document.write( "distance between 2 points is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28change-in-x%29%5E2%2B%28change-in-y%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28change-in-x%29%5E2%2B%28change-in-y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so distance between the following points and C are:\r<BR>\n" );
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document.write( "(-2,5)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-2-1%29%5E2%2B%285-2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-2-1%29%5E2%2B%285-2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-3%5E2%2B3%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28-3%5E2%2B3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%282%29 ALIGN=MIDDLE  ALT=\"3sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(-2,-1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-2-1%29%5E2%2B%28-1-2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-2-1%29%5E2%2B%28-1-2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-3%5E2%2B-3%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28-3%5E2%2B-3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%282%29 ALIGN=MIDDLE  ALT=\"3sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4,-1)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%284-1%29%5E2%2B%28-1-2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%284-1%29%5E2%2B%28-1-2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%5E2%2B-3%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%283%5E2%2B-3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%282%29 ALIGN=MIDDLE  ALT=\"3sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "they all lie on the circle with a radius of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%282%29 ALIGN=MIDDLE  ALT=\"3sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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