document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293123>Question 293123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You! I would deeply appreicate it!\r<BR>\n" );
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document.write( "Circles:Circles and Lengths of Segments<BR>\n" );
document.write( "A bridge over a river has the shape of a circular arc.  The span of the bridge is 24 meters.  (The span is the length of the chord of the arc.)  The midpoint of the arc is 4 meters higher than the endpoints.  What is the radius of the circle that contains this arc? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211586 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bridge over a river has the shape of a circular arc.<BR>\n" );
document.write( " The span of the bridge is 24 meters. (The span is the length of the chord of the arc.)<BR>\n" );
document.write( " The midpoint of the arc is 4 meters higher than the endpoints. What is the radius of the circle that contains this arc?<BR>\n" );
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document.write( "Solve a right triangle formed by the radius (r), half the chord, and dist from center to the chord<BR>\n" );
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document.write( "r = the hypotenuse<BR>\n" );
document.write( "(r-4) = one leg, (dist from center to chord)<BR>\n" );
document.write( "12 = one leg (half the length of the chord)<BR>\n" );
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document.write( "r^2 = 12^2 + (r-4)^2<BR>\n" );
document.write( "r^2 = 144 + r^2 - 8r + 16<BR>\n" );
document.write( "Subtract r^2 from both sides<BR>\n" );
document.write( "0 = -8r + 160<BR>\n" );
document.write( "8r = 160<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%2F8 ALIGN=MIDDLE  ALT=\"160%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 20 m is the radius of the circle containing this arc<BR>\n" );
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document.write( "Check by solving the right triangle:<BR>\n" );
document.write( "distance from center to chord: 20 - 4 = 16<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%5E2%2B12%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%5E2%2B12%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 20  </SPAN>\n" );
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