document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870717>Question 870717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 8 inches.\r<BR>\n" );
document.write( "\n" );
document.write( "two circles touching at one point. Larger circle has radius of 8 inches. Smaller circle has radius of 2 inches.\r<BR>\n" );
document.write( "\n" );
document.write( "Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?\r<BR>\n" );
document.write( "\n" );
document.write( "Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?\r<BR>\n" );
document.write( "\n" );
document.write( "Show all work.<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 #525086 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=525086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the smaller gear makes one revolution, its outer edge has traveled the circumference,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=2%2Api%2AR=2%2Api%2A2=4%2Api ALIGN=MIDDLE  ALT=\"S=2%2Api%2AR=2%2Api%2A2=4%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now find out the angular measure of the larger gear that travels <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api ALIGN=MIDDLE  ALT=\"4%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set up a ratio.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282pi%29%2F%282%2Api%2A8%29=theta%2F%284%2Api%29 ALIGN=MIDDLE  ALT=\"%282pi%29%2F%282%2Api%2A8%29=theta%2F%284%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4=theta%2F%284%2Api%29 ALIGN=MIDDLE  ALT=\"1%2F4=theta%2F%284%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8=theta%2F%284%2Api%29 ALIGN=MIDDLE  ALT=\"1%2F8=theta%2F%284%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=pi%2F2 ALIGN=MIDDLE  ALT=\"theta=pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the larger circle made 1/4 revolution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "We saw before when the small circle makes 1 revolution, the larger make 1/4 revolution.<BR>\n" );
document.write( "So if the large one makes one revolution, the small one will make 4 times as many or 4 revolutions.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );