The path to ImageMagick is /usr/bin.
Also you may use the following paths for different ImageMagick modules:
/usr/bin/animate
/usr/bin/composite
/usr/bin/conjure
/usr/bin/convert
/usr/bin/display
/usr/bin/identify
/usr/bin/import
/usr/bin/mogrify
/usr/bin/montage
If these paths do not work it may be possible that ImageMagick was removed from your server, please submit a ticket and we will re-install if for you.