Conversion Between Degrees and Radians

<BODY LANG="EN" > <HR><center> <table border=1> <td><A HREF="node9.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="trig.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node11.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node10.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> </table> </center> <HR> <H1>Conversion Between Degrees and Radians</H1> <P> Because it is the case that <IMG WIDTH=79 HEIGHT=47 ALIGN=MIDDLE ALT="1 deg = pi rad/180" SRC="img4.gif"> and <IMG WIDTH=117 HEIGHT=49 ALIGN=MIDDLE ALT="1 rad = 180 deg/pi" SRC="img5.gif">, we have the following conversion rules. <UL> <LI> To convert from degrees to radians, multiply degrees by <IMG WIDTH=69 HEIGHT=47 ALIGN=MIDDLE ALT="(pi rad)/(180 deg)" SRC="img6.gif">. <P> <LI> To convert from radians to degrees, multiply radians by <IMG WIDTH=69 HEIGHT=44 ALIGN=MIDDLE ALT="(180 deg)/(pi rad)" SRC="img7.gif">. </UL> <p> Thus, for example, 60° = 60° * <img src="img6.gif" alt = "pi rad/180 deg"> = <img src="pi3.gif"> radians. </p> <HR><center> <table border=1> <td><A HREF="node9.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="trig.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node11.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node10.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> </table> </center> <HR><P><ADDRESS> <I><A HREF="http://www.math.psu.edu/sellersj/">James A. Sellers</A> </I> </ADDRESS> </BODY>