document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644505>Question 644505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A(3,-2) and B(7,2) are the endpoints of the diameter of a circle, what is the area of a circle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405085 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=405085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use formula for distance between two points to find the diameter of a circle \r<BR>\n" );
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document.write( "If A(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and B(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >), then the diameter of a circle is:\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=hummingbird_distance_2D.solver>Distance between two points in two dimensions</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>The distance (denoted by d) between two points in two dimensions is given by the following formula:<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Thus in our case, the required distance is<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28%283-7%29%5E2+%2B+%28-2-2%29%5E2%29=+5.65685424949238+ ALIGN=MIDDLE  ALT=\"d=sqrt%28%283-7%29%5E2+%2B+%28-2-2%29%5E2%29=+5.65685424949238+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  For more on this concept, refer to <A  rel=nofollow HREF=Distance_formula.wikipedia>Distance formula</A>.<BR>\n" );
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document.write( "the area of a circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=r%5E2pi ALIGN=MIDDLE  ALT=\"A=r%5E2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........since diameter is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=5.65685424949238 ALIGN=MIDDLE  ALT=\"d=5.65685424949238\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%285.65685424949238%29%5E2pi ALIGN=MIDDLE  ALT=\"A=%285.65685424949238%29%5E2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=31.9999999999999977914876780644%2Api ALIGN=MIDDLE  ALT=\"A=31.9999999999999977914876780644%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >...round\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=32%2Api ALIGN=MIDDLE  ALT=\"A=32%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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