document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183725>Question 1183725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle through P(5,9), Q(11,-3), and R(13,3). Find its equation in standard form, by doing the following steps.<BR>\n" );
document.write( "a. Determine an equation of the perpendicular bisector of the segment PR.<BR>\n" );
document.write( "b. Determine an eqution of the perpendicular bisector of QR.<BR>\n" );
document.write( "c. The perpendicular bisector of any chord of a circle will pass through the center. Thus, find the intersection of the two perpendicular bisectors above. This will be the center C of the circle.<BR>\n" );
document.write( "d. To find the circle's radius, find the distance of C from any of the three points P,Q, or R. You may use any of these three points?<BR>\n" );
document.write( "e. What is the standard equation of the circle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814169 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The problem tells you exactly what to do; all of the steps are elementary.  If you are having difficulty with any of the steps, then re-post the problem, telling us what those difficulties are.  If you are just expecting us to do all your work for you, then don't bother re-posting; that's not what we are here for.<br><BR>\n" );
document.write( "a,b: to find the equation of the perpendicular bisector of each segment...<BR>\n" );
document.write( "(1) find the slope m and midpoint (a,b) of the given segment<BR>\n" );
document.write( "(2) find the slope of the line perpendicular to the given segment -- -1/m, the negative reciprocal of the slope of the given segment<BR>\n" );
document.write( "(3) use the midpoint (a,b) and the slope -1/m in the point-slope form of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-b+=+%28-1%2Fm%29%28x-a%29 ALIGN=MIDDLE  ALT=\"y-b+=+%28-1%2Fm%29%28x-a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "c: to find the intersection of the two perpendicular bisectors, solve the pair of equations for those lines simultaneously (solve a system of two linear equations)<br><BR>\n" );
document.write( "d: distance formula....<br><BR>\n" );
document.write( "e: if the center is (h,k) and the radius is r, the equation is<BR>\n" );
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;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );