document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945586>Question 945586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the measure of the central angle of a circle is 70 and arc AC is 3 meter,what is the measure of the radius?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576771 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=576771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the arc length of a circle with a central angle of 70 degrees is equal to 70/360 * 2 * pi * r.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since the arc length is equal to 3 meters, the equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3 = 70/360 * pi * r\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for r to get r = (3 * 360) / (70 * 2 * pi).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that would make the radius equal to 2.455533408.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to see if this is correct, find the circumference of the circle with a radius of 2.455533408 and then find the length of an arc that has a central angle of 70 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the circumference of the circle is equal to 2 * pi * r which becomes equal to 2 * pi * 2.455533408 which is equal to 15.42857143.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the length of the arc is equal to 70 / 360 * 2 * pi * r.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since 2 * pi * r is equal to 15.42857143, then the equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the length of the arc is equal to 70 / 360 * 15.42857143 which is equal to 3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that confirms that the solution is correct and that the length of the radius is equal to 2.455533408. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );