document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919772>Question 919772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Circle P has radius 10 cm. Two perpendicular radii are drawn, and a smaller <BR>\n" );
document.write( "circle is drawn tangent to both radii and the larger circle, as shown. What <BR>\n" );
document.write( "is the radius of the smaller circle? Express your answer as a decimal to the <BR>\n" );
document.write( "nearest tenth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558205 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=558205\">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%280%2C0%2C10%29%2Cline%280%2C0%2C0%2C-10%29%2Cline%280%2C0%2C10%2C0%29%2Clocate%282%2C-2.5%2Cx%29%2Ccircle%284.142%2C-4.142%2C4.142%29%2Cblue%28line%280%2C0%2C7.071%2C-7.071%29%29%2Cgreen%28line%280%2C-4.142%2C4.142%2C-4.142%29%29%2Cgreen%28line%284.142%2C0%2C4.142%2C-4.142%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The radius of the larger circle is R.<BR>\n" );
document.write( "The radius of the smaller circle is r. <BR>\n" );
document.write( "The length of the green lines is r. <BR>\n" );
document.write( "So from the center of the large circle to the center of the small circle is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2Br%5E2=x%5E2 ALIGN=MIDDLE  ALT=\"r%5E2%2Br%5E2=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%282%29r ALIGN=MIDDLE  ALT=\"x=sqrt%282%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the center of the large circle to the edge of the large circle is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Br=R ALIGN=MIDDLE  ALT=\"x%2Br=R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29r%2Br=R ALIGN=MIDDLE  ALT=\"sqrt%282%29r%2Br=R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=R%2F%281%2Bsqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28r=R%2F%281%2Bsqrt%282%29%29%29\"   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=r=10%2F%281%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"r=10%2F%281%2Bsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );