document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431397>Question 431397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 4 <BR>\n" );
document.write( "Part a) Given three noncollinear points, construct the circle and then write the equation of the circle. <BR>\n" );
document.write( "The points are A (12,-1), B (6,-3), C (4, 3). <BR>\n" );
document.write( "Part b) Using the equation and graph of the circle above, determine if the following lines are tangent, secant or neither. <BR>\n" );
document.write( "y=1 <BR>\n" );
document.write( "y=2x-1 \r<BR>\n" );
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document.write( "Question 5 <BR>\n" );
document.write( "Given AC is a diameter of circle O. <BR>\n" );
document.write( "AC = 25 cm, measure angle A= 7x+8 and measure angle B = 4x+20. Find the length of arc BC to the nearest tenth. \r<BR>\n" );
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document.write( "*Image is not drawn to scale. \r<BR>\n" );
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document.write( "Question 6 <BR>\n" );
document.write( "ABCD is an inscribed quadrilateral. Find the measures of angles A, B, C, D. \r<BR>\n" );
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document.write( "*Image is not drawn to scale. \r<BR>\n" );
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document.write( "Question 7 <BR>\n" );
document.write( "Find the area and perimeter of the great circle in the sphere with a radius of 12m. \r<BR>\n" );
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document.write( "Question 8 <BR>\n" );
document.write( "Frederick is paddling due east on the river at 4 mph. However, the river is flowing due north at 2 mph, find the resultant direction and velocity (magnitude) of his canoe </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299406 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=299406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question 4 <BR>\n" );
document.write( "Part a) Given three noncollinear points, construct the circle and then write the equation of the circle. <BR>\n" );
document.write( "The points are A (12,-1), B (6,-3), C (4, 3). <BR>\n" );
document.write( "Part b) Using the equation and graph of the circle above, determine if the following lines are tangent, secant or neither. <BR>\n" );
document.write( "y=1 <BR>\n" );
document.write( "y=2x-1<BR>\n" );
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document.write( "Find the center of the circle by finding the equations of the lines thru the midpoints of AB and BC perpendicular to AB and BC<BR>\n" );
document.write( "The intersection of those two bisectors is the center of the circle.<BR>\n" );
document.write( "The center is at (8,1)<BR>\n" );
document.write( "The radius is the distance from (8,1) to any of the 3 points.<BR>\n" );
document.write( "r = 4.5<BR>\n" );
document.write( "--> (x-8)^2 + (y-1)^2 = 20.25<BR>\n" );
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document.write( "y = 1 goes thru the center<BR>\n" );
document.write( "y = 2x-1 does not intersect the circle.<BR>\n" );
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document.write( "Reply via the thank you note and I'll send you a graph, and an Excel sheet that gives the equation of a circle defined by 3 points.<BR>\n" );
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document.write( "Question 5 <BR>\n" );
document.write( "Given AC is a diameter of circle O. <BR>\n" );
document.write( "AC = 25 cm, measure angle A= 7x+8 and measure angle B = 4x+20. Find the length of arc BC to the nearest tenth. <BR>\n" );
document.write( "*Image is not drawn to scale. <BR>\n" );
document.write( "Question 6 <BR>\n" );
document.write( "ABCD is an inscribed quadrilateral. Find the measures of angles A, B, C, D. <BR>\n" );
document.write( "*Image is not drawn to scale. <BR>\n" );
document.write( "Question 7 <BR>\n" );
document.write( "Find the area and perimeter of the great circle in the sphere with a radius of 12m.<BR>\n" );
document.write( "This is trivial.<BR>\n" );
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document.write( "Question 8 <BR>\n" );
document.write( "Frederick is paddling due east on the river at 4 mph. However, the river is flowing due north at 2 mph, find the resultant direction and velocity (magnitude) of his canoe<BR>\n" );
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document.write( "Find the speed using Pythagoras.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+sqrt%284%5E2+%2B+2%5E2%29+=+sqrt%2820%29 ALIGN=MIDDLE  ALT=\"v+=+sqrt%284%5E2+%2B+2%5E2%29+=+sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "v =~ 4.47 mph<BR>\n" );
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document.write( "The angle between east and his resultant direction is the arctan(2/4).<BR>\n" );
document.write( "angle =~ 26.565 degs north of east<BR>\n" );
document.write( "--> 063 degrees (using north as zero and east as 090 degs)<BR>\n" );
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