document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180243>Question 1180243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A dartboard has a diameter of 18 inches. The bull’s eye (center) is at coordinates (0,0).\r<BR>\n" );
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document.write( " Determine the equation representing the outer edge of the dartboard (circle) (2M).\r<BR>\n" );
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document.write( " If Natalie’s dart lands at coordinates (6,7), is it on the dartboard?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809850 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the center of the dartbord is at (0,0).<BR>\n" );
document.write( "the diameter is 18 inches, which means the radius is 9 inches.<BR>\n" );
document.write( "the formula for a circle is (x-h)^2 + (y-k)^2 = r^2<BR>\n" );
document.write( "(x-h) is the x-coordinate of the center of the cirvle.<BR>\n" );
document.write( "(y-k) is the y-coordinate of the center of the circle.<BR>\n" );
document.write( "r is the radius.\r<BR>\n" );
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document.write( "that formula becomes (x-0)^2 + (y-0)^2 = 9^2\r<BR>\n" );
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document.write( "the graph of the circle looks like this:\r<BR>\n" );
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document.write( "if the dart lands on (6 7), then the distance from the center of the circle is sqrt((6^2 + 7^2) = sqrt(85) which is greater than wqrt(81).<BR>\n" );
document.write( "this means the dart has not landed on the dartboard.\r<BR>\n" );
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document.write( "here's what the graph looks like.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/051202.jpg\">\r<BR>\n" );
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document.write( " </SPAN>\n" );
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