document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950327>Question 950327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The right end point of an arc is tangent to a horizontal line. The arc length is 12. The left end point of the arc is 4 units above the horizontal line. How do you find the arc radius?\r<BR>\n" );
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document.write( "Thank you for solving this and showing me how. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580556 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=580556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%288%2C8%2C15%29%2Cline%288%2C8%2C8%2C-7%29%2Cblue%28line%288%2C8%2C4%2C-5.75%29%29%2Clocate%288.5%2C3%2CR%29%2Clocate%287%2C6%2Ctheta%29%2Clocate%28-1%2C-5.5%2C4%29%2Clocate%284%2C4%2CR%29%2Cline%288%2C-7%2C0%2C-7%29%2Clocate%282%2C-4%2CY%29%2Clocate%286%2C-5%2CY%29%2Cline%280%2C-7%2C0%2C-4.5%29%2Cline%280%2C-4.5%2C8%2C8%29%2Cline%280%2C-4.5%2C8%2C-7%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the arc length,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%2Atheta=12 ALIGN=MIDDLE  ALT=\"R%2Atheta=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The blue line is the bisector of angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You know that,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=Rsin%28theta%2F2%29 ALIGN=MIDDLE  ALT=\"Y=Rsin%28theta%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The angle in the small triangle opposite the length 4 is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta%2F2 ALIGN=MIDDLE  ALT=\"theta%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%2F2%29=4%2F%282Y%29=2%2FY ALIGN=MIDDLE  ALT=\"sin%28theta%2F2%29=4%2F%282Y%29=2%2FY\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%2F2%29=2%2F%28Rsin%28theta%2F2%29%29 ALIGN=MIDDLE  ALT=\"sin%28theta%2F2%29=2%2F%28Rsin%28theta%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%2F2%29%5E2=2%2FR ALIGN=MIDDLE  ALT=\"sin%28theta%2F2%29%5E2=2%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the arc length,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=12%2FR ALIGN=MIDDLE  ALT=\"theta=12%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta%2F2=6%2FR ALIGN=MIDDLE  ALT=\"theta%2F2=6%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%286%2FR%29%29%5E2=2%2FR ALIGN=MIDDLE  ALT=\"%28sin%286%2FR%29%29%5E2=2%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Iterating using EXCEL,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=17.3 ALIGN=MIDDLE  ALT=\"R=17.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=39.74 ALIGN=MIDDLE  ALT=\"theta=39.74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=degrees ALIGN=MIDDLE  ALT=\"degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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