document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917283>Question 917283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the circle that passes through (8,3) and (2,3) and has its centre on the x-axis.\r<BR>\n" );
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document.write( "Thank-you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556603 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=556603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the circle that passes through (8,3) and (2,3) and has its centre on the x-axis. <BR>\n" );
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document.write( "draw a line connecting the 2 given points on the circle.<BR>\n" );
document.write( "This line is a chord of the circle<BR>\n" );
document.write( "Draw a perpendicular line from the midpoint of the chord to the x-axis<BR>\n" );
document.write( "The point at which this line meets the x-axis is the center of the circle.<BR>\n" );
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document.write( "midpoint of the chord=(8+2)/2=10/2=5<BR>\n" );
document.write( "center of circle=(5,0)=(h,k)<BR>\n" );
document.write( "Form of equation for a circle: (x-h)^2+(y-k)^2=r^2<BR>\n" );
document.write( "Using one of given points(2,3) to find radius^2<BR>\n" );
document.write( "(2-5)^2+(3-0)^2=r^2<BR>\n" );
document.write( "3^2+3^2=9+9=18<BR>\n" );
document.write( "r^2=18<BR>\n" );
document.write( "equation for circle: (x-5)^2+y^2=18 </SPAN>\n" );
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