document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148880>Question 148880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'am an online student and I have the following Questions\r<BR>\n" );
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document.write( "True or False. If the radius of a circle is doubled, the area increases by a factor of 4.\r<BR>\n" );
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document.write( "True or False. Increasing the radius of a circle by 10 inches, increases the circumference of the circle by 20  inches.\r<BR>\n" );
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document.write( " Find the perimeter of a region bounded on three sides by a rectangle with a length of 1000 ft and a width of 600 ft and bounded above by a semicirle with a radius of 300 ft. Use 3.14 as the approximation for  ( Do not include the lower half of the semicircle in the perimeter)<BR>\n" );
document.write( "        A)3542 ft <BR>\n" );
document.write( "        B)3592 ft <BR>\n" );
document.write( "        C)3502 ft <BR>\n" );
document.write( "        D)3522 ft \r<BR>\n" );
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document.write( " Find the perimeter of an equilateral triangle (all sides have equal lengths) with side lengths 4 mm\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109211 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> True or False. If the radius of a circle is doubled, the area increases by a factor of 4.<BR>\n" );
document.write( "To answer this, you need to know the area of a circle is:<BR>\n" );
document.write( "(pi)r^2<BR>\n" );
document.write( "if you were to double the radius, it would be:<BR>\n" );
document.write( "(pi)(r+2)^2<BR>\n" );
document.write( "= (pi)(r+2)(r+2)<BR>\n" );
document.write( "= (pi)(r^2+4r+4)<BR>\n" );
document.write( "This increased the area by MORE than a factor of 4.<BR>\n" );
document.write( "Anwer: False<BR>\n" );
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document.write( "True or False. Increasing the radius of a circle by 10 inches, increases the circumference of the circle by 20 inches.<BR>\n" );
document.write( "To answer this, you need to know the circumference of a circle is:<BR>\n" );
document.write( "2(pi)r<BR>\n" );
document.write( "Now, if we increase the radius by 10:<BR>\n" );
document.write( "2(pi)(r+10)<BR>\n" );
document.write( "= 2(pi)(r+10)<BR>\n" );
document.write( "= 2(pi)(r+10)<BR>\n" );
document.write( "= 2(pi)r+2(pi)10<BR>\n" );
document.write( "= 2(pi)r+(pi)20<BR>\n" );
document.write( "This increased the circumference by (pi)20.<BR>\n" );
document.write( "Answer: False<BR>\n" );
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document.write( "Find the perimeter of a region bounded on three sides by a rectangle with a length of 1000 ft and a width of 600 ft and bounded above by a semicirle with a radius of 300 ft. Use 3.14 as the approximation for ( Do not include the lower half of the semicircle in the perimeter)<BR>\n" );
document.write( "A)3542 ft<BR>\n" );
document.write( "B)3592 ft<BR>\n" );
document.write( "C)3502 ft<BR>\n" );
document.write( "D)3522 ft<BR>\n" );
document.write( "Circumference of the semi-circle is:<BR>\n" );
document.write( "(.5)2(pi)r<BR>\n" );
document.write( "= (.5)2(3.14)300<BR>\n" );
document.write( "= (.5)2(3.14)300<BR>\n" );
document.write( "= 2(3.14)150<BR>\n" );
document.write( "= 2(471)<BR>\n" );
document.write( "= 942 ft<BR>\n" );
document.write( "perimeter of the 3-sided rectangle:<BR>\n" );
document.write( "1000+1000+600 = 2600 ft<BR>\n" );
document.write( "total perimeter:<BR>\n" );
document.write( "942 ft + 2600 ft = 3542 ft<BR>\n" );
document.write( "Answer: A<BR>\n" );
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document.write( "Find the perimeter of an equilateral triangle (all sides have equal lengths) with side lengths 4 mm <BR>\n" );
document.write( "There are three sides to a triangle, therefore the perimeter is the total of the lengths:<BR>\n" );
document.write( "4+4+4 = 12 mm<BR>\n" );
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