document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044110>Question 1044110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The centre of a circle has coordinates (0,0) One end of a diameter is located at (7,-2)\r<BR>\n" );
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document.write( "a) What are the coordinates of the other endpoint of this diameter? \r<BR>\n" );
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document.write( "b) What is the 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 #659368 by </B><A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><B>advanced_Learner(501)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><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=advanced_Learner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=659368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The centre of a circle has coordinates (0,0) One end of a diameter is located at (7,-2)\r<BR>\n" );
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document.write( "a) What are the coordinates of the other endpoint of this diameter? \r<BR>\n" );
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document.write( "b) What is the equation of the circle? \r<BR>\n" );
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document.write( "many ways to tackle this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%280%2C0%29 ALIGN=MIDDLE  ALT=\"c%280%2C0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%287%2C-2%29 ALIGN=MIDDLE  ALT=\"D%287%2C-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "by inspection the other end of the diameter is located at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%28-7%2C2%29 ALIGN=MIDDLE  ALT=\"D%28-7%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "use midpoint formula to verify<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2C0%29 ALIGN=MIDDLE  ALT=\"0%2C0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B7%29%2F%282%29%2B%28b%2B-2%29%2F2 ALIGN=MIDDLE  ALT=\"%28a%2B7%29%2F%282%29%2B%28b%2B-2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "means<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280%29 ALIGN=MIDDLE  ALT=\"%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B7%29%2F%282%29 ALIGN=MIDDLE  ALT=\"%28a%2B7%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B7=0 ALIGN=MIDDLE  ALT=\"a%2B7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-7 ALIGN=MIDDLE  ALT=\"a=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B-2%29%2F2 ALIGN=MIDDLE  ALT=\"%28b%2B-2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b-2=0 ALIGN=MIDDLE  ALT=\"b-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%28-7%2C2%29 ALIGN=MIDDLE  ALT=\"D%28-7%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "two ways <BR>\n" );
document.write( "find the distance from end of the diamater to other end to get diameter ,divide by 2 to  get radius.using (7, -2) and (-7, 2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+ ALIGN=MIDDLE  ALT=\"D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+sqrt+%28+212%29%29 ALIGN=MIDDLE  ALT=\"%28+sqrt+%28+212%29%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+ ALIGN=MIDDLE  ALT=\"D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+sqrt+%28+212%29%29 ALIGN=MIDDLE  ALT=\"%28+sqrt+%28+212%29%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+ ALIGN=MIDDLE  ALT=\"D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+sqrt+%28+53%29%29 ALIGN=MIDDLE  ALT=\"%28+sqrt+%28+53%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "half of it is the radius or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+ ALIGN=MIDDLE  ALT=\"R+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+sqrt+%28+53%29%29 ALIGN=MIDDLE  ALT=\"%28+sqrt+%28+53%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "same can be found using origin and one end of the diameter to get radius.<BR>\n" );
document.write( "distance from one end to the origin c(0,0) to get radius using ((0 ,0))and ((7 ,-2))<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+sqrt+%28+53%29%29 ALIGN=MIDDLE  ALT=\"%28+sqrt+%28+53%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"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=x%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2853%29%29%5E2%0D%0A%0D%0A%7B%7B%7Bx%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%2853%29%29%5E2%0D%0A%0D%0A%7B%7B%7Bx%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=53 ALIGN=MIDDLE  ALT=\"53\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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