noodles, wheat flour
麺 centers on food made from ground wheat: noodles and wheat flour. The two meanings are closely linked, as noodles are a primary product of wheat flour.
麺 is the modern simplified form of 麵. The older form combines 麥 (wheat) with 面, which likely contributes the sound and relates to the floury surface of noodles. The modern form replaces 麥 with the simplified 麦.
Wheat 麦 on the left and a face 面 on the right: imagine a face covered in wheat flour after making noodles.
For メン, picture a bowl of noodles with the word MENu written on it: menu -> メン, and the noodles are the main dish.
noodles
noodles; vermicelli
fine white noodles
bamboo shoots boiled, sliced, fermented, dried or preserved in salt, then soaked in hot water and sea salt
Chinese-style stir-fried vegetable noodle soup
dried noodles
instant noodles sold in a cup; cup noodles
rolling pin
noodles made in flat strips
cold Chinese noodles served with a dipping sauce separately
boiled noodles
noodle boiler; noodle boiling machine
zhajiangmian (dish of ground pork over wheat noodles)
snack noodle
jajangmyeon (noodle dish topped with sweet bean sauce, diced pork, and vegetables)
ramen soup topped with slices of roasted pork
bibim-guksu (Korean spicy noodles)
biangbiang noodles; youpo chemian
wonton noodles; wonton noodle soup
Chinese noodles