document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147999>Question 147999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A decorative dinner plate is displayed in a V-shaped rack as shown. The radius of the plate is 7 inches. The measure of angle APC = 50 degrees. The sides of the rack form tangents to the plate.\r<BR>\n" );
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document.write( "A decorative dinner plate is displayed in a V-shaped rack as shown. The radius of the plate is 7 inches. The measure of angle APC = 50 degrees. The sides of the rack form tangents to the plate.\r<BR>\n" );
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document.write( "a) Find the circumference of the plate.\r<BR>\n" );
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document.write( "b)Find the measure of angle PAB. Explain how you found the measure.\r<BR>\n" );
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document.write( "c)Find the measure of minor arc AC and major arc ADC. Explain how you found the measure \r<BR>\n" );
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document.write( "d)Use the circumference of the circle that you found in part a to find the length of arc AC. Explain your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108491 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A decorative dinner plate is displayed in a V-shaped rack as shown. The radius of the plate is 7 inches. The measure of angle APC = 50 degrees. The sides of the rack form tangents to the plate.\r<BR>\n" );
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document.write( "a) Find the circumference of the plate.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=pi%282r%29 ALIGN=MIDDLE  ALT=\"c=pi%282r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=pi%282%287%29%29 ALIGN=MIDDLE  ALT=\"c=pi%282%287%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=c=14pi ALIGN=MIDDLE  ALT=\"c=14pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b)Find the measure of angle PAB. Explain how you found the measure.\r<BR>\n" );
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document.write( "*This depends on the placement of B, which is not identifiable given the question alone. You probably have a diagram.  If you can describe where B is located on the circle, I can help you find this angle.\r<BR>\n" );
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document.write( "c)Find the measure of minor arc AC and major arc ADC. Explain how you found the measure \r<BR>\n" );
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document.write( "If the center of the circle is P, then APC is a central angle. Therefore its arc, AC, is the same measure as the angle. angle APC = 50 degrees, therefore arc AC=50 degrees.\r<BR>\n" );
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document.write( "d)Use the circumference of the circle that you found in part a to find the length of arc AC. Explain your answer.\r<BR>\n" );
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document.write( "How much of the circumference is 50 degrees?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%2814pi%29=50%2F360 ALIGN=MIDDLE  ALT=\"x%2F%2814pi%29=50%2F360\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Cross multiply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360x=700pi ALIGN=MIDDLE  ALT=\"360x=700pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 360<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.944pi ALIGN=MIDDLE  ALT=\"x=1.944pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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