document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168236>Question 1168236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a circle that satisfies the given conditions:<BR>\n" );
document.write( "(a) the center is at (1, -3) and the circle passes through (-3, 5).<BR>\n" );
document.write( "(b) the line segment joining A (0, 0), and B (6, -8) is a diameter.<BR>\n" );
document.write( "(c) the circle is tangent to y-axis, and the center is at (5, 3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843805 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a circle that satisfies the given conditions:<BR>\n" );
document.write( "(a) the center is at (1, -3) and the circle passes through (-3, 5).<BR>\n" );
document.write( "(b) the line segment joining A (0, 0), and B (6, -8) is a diameter.<BR>\n" );
document.write( "(c) the circle is tangent to y-axis, and the center is at (5, 3)\r<BR>\n" );
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document.write( "(a) the center is at (1, -3) and the circle passes through (-3, 5).\r<BR>\n" );
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document.write( "Find radius by distance formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=+sqrt%28%281-%28-3%29%29%5E2%2B%28-3-5%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"r=+sqrt%28%281-%28-3%29%29%5E2%2B%28-3-5%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "r= sqrt(80)\r<BR>\n" );
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document.write( "=4sqrt(5)\r<BR>\n" );
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document.write( "Now we have the radius, r, and the center (ℎ,k)~(1,-3) and radius 4sqrt(5)<BR>\n" );
document.write( " We can plug these values into the general equation of a circle:\r<BR>\n" );
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document.write( "(x-1)^2+(y+3)^2= (4sqrt(5))^2\r<BR>\n" );
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document.write( "(x-1)^2+(y+3)^2= 80<BR>\n" );
document.write( " </SPAN>\n" );
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