document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831395>Question 831395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two tangent segments to a circle intersect and make an angle of 48 degrees 15' 12\". Find the radius of the circle if one of the tangent segment is 27.2 cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501448 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501448\">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%28350%2C250%2C-27%2C8%2C-12.5%2C12.5%2C%0D%0Aline%28-24.82%2C0%2C4.98%2C0%29%2Cline%28-24.82%2C0%2C0%2C11.12%29%2Cline%28-24.8%2C0%2C0%2C-11.12%29%2C%0D%0Aline%285%2C0%2C0%2C11.12%29%2Cline%284.98%2C0%2C0%2C-11.12%29%2Cred%28circle%284.98%2C0%2C12.18%29%29%2C%0D%0Aline%280.6%2C9.78%2C-0.74%2C9.19%29%2Cline%28-1.33%2C10.52%2C-0.74%2C9.19%29%2C%0D%0Alocate%285%2C1%2CO%29%2Clocate%28-26%2C1%2CP%29%2Clocate%280.5%2C11.5%2CT%29%2Clocate%280.5%2C-10%2CR%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > PT and PR are the tangents from point P to circle O.<BR>\n" );
document.write( "The tangents are perpendicular to radii OT and OR, so triangles PTO and PRO are right triangles.<BR>\n" );
document.write( "Quadrilateral PTOR is a kite.<BR>\n" );
document.write( "Sides PT and PR measure 27.2 cm.<BR>\n" );
document.write( "The measure of sides OT and OR is the radius that we want to find.<BR>\n" );
document.write( "Angle OPT measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%5Eo ALIGN=MIDDLE  ALT=\"24%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%227+%27+36+%27+%27+%22 ALIGN=MIDDLE  ALT=\"%227+%27+36+%27+%27+%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > (half of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%5Eo ALIGN=MIDDLE  ALT=\"48%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2215+%27+12+%27+%27+%22 ALIGN=MIDDLE  ALT=\"%2215+%27+12+%27+%27+%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > ) .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28OPT%29=OT%2FPT=0.44788 ALIGN=MIDDLE  ALT=\"tan%28OPT%29=OT%2FPT=0.44788\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approximately)<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OT=0.44788%2APT=0.44788%2A%2827.2cm%29=highlight%2812.2cm%29 ALIGN=MIDDLE  ALT=\"OT=0.44788%2APT=0.44788%2A%2827.2cm%29=highlight%2812.2cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded) </SPAN>\n" );
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