document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473492>Question 473492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> radian measure of -545 degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324705 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=324705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to convert degrees to radians, you need to multiply by pi/180.<BR>\n" );
document.write( "to convert radians to degrees, you need to multiply by 180/pi.<BR>\n" );
document.write( "-545 degrees is equivalent to -545*pi/180 = -3.027777778 * pi radians.<BR>\n" );
document.write( "this would be equivalent to -9.512044423 radians.<BR>\n" );
document.write( "pi is a constant that is equal to 3.141592654<BR>\n" );
document.write( "an angle that an arc makes on a circle can be measured in degrees or in radians.<BR>\n" );
document.write( "a whole circle is equal to 360 degrees.<BR>\n" );
document.write( "a whole circle is equal to 2*pi radians.<BR>\n" );
document.write( "an arc that covers half the circumference of a circle has a central angle of 180 degrees.<BR>\n" );
document.write( "this is equivalent to pi radians.<BR>\n" );
document.write( "if you want to find the length of an arc on a circle, you need to know the angle and you need to know the radius.<BR>\n" );
document.write( "assume the radius is equal to 5 and the angle of the arc is equal to 90 degrees.<BR>\n" );
document.write( "the length of the arc would be equal to (90/360)*2*pi*5.<BR>\n" );
document.write( "this becomes (pi/2)*5.<BR>\n" );
document.write( "if you know the measure of the angle in radians, then the formula to find the length of the arc is simpler.<BR>\n" );
document.write( "a 90 degree angle is equivalent to an angle of (90/180) * pi = pi/2 radians.<BR>\n" );
document.write( "the length of the arc would be equal to (pi/2)*5.<BR>\n" );
document.write( "so, if the angle is expressed in degrees, then the length of the arc is given by the formula:<BR>\n" );
document.write( "Length of Arc = (Angle/360) * 2 * pi * radius<BR>\n" );
document.write( "and, if the angle is expressed in radians, then the length of the arc is given by the formula:<BR>\n" );
document.write( "Length of Arc = Angle * radius.<BR>\n" );
document.write( "Note that (Angle/360) * 2 * pi is equal to (Angle/180) * pi.<BR>\n" );
document.write( "This is exactly the formula used to convert an angle expressed in degrees into an angle expressed in radians.\r<BR>\n" );
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