document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169976>Question 169976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help solving the following problem. Any assistance you can provide me with in doing so will be greatly appreciated. Thanks!<BR>\n" );
document.write( "Find an equation for a circle satisfying the given conditions.<BR>\n" );
document.write( "Center (4,5), diameter of length 8.2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125436 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=125436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the diameter is 8.2, then the radius is simply half the diameter. So the radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=8.2%2F2=4.1 ALIGN=MIDDLE  ALT=\"r=8.2%2F2=4.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the center is (4,5), this means that h=4 and k=5. Note: remember, the center of any circle is (h,k)\r<BR>\n" );
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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;\" > Start with the general equation of a circle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%2B%28y-5%29%5E2=%284.1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2B%28y-5%29%5E2=%284.1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4 ALIGN=MIDDLE  ALT=\"h=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=5 ALIGN=MIDDLE  ALT=\"k=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this is the center) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=4.1 ALIGN=MIDDLE  ALT=\"r=4.1\"   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=%28x-4%29%5E2%2B%28y-5%29%5E2=16.81 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2B%28y-5%29%5E2=16.81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 4.1 to get 16.81\r<BR>\n" );
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document.write( "So the equation of the circle with a center of (4,5) and a diameter of 8.2 units is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%2B%28y-5%29%5E2=16.81 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2B%28y-5%29%5E2=16.81\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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