These three letters carry two distinct strands that share a spelling. One strand is going round: to tour, to patrol, to scout, giving the patrol unit and the reconnaissance tour. The other strand is taking away: the hif'il "to remove" and its action-noun "removal". Modern Hebrew keeps both live, so the page is split by sense, not forced into one meaning. Every word here is verified against pealim, niqqud included.
The same root runs through the verb system. Each binyan is a voice: it bends the one idea into active, passive, causative or reciprocal. Tap to hear.
The two verbs belong to the two senses: the pi'el לְסַיֵּר is the "go round / patrol" strand, while the hif'il לְהָסִיר is the "take away" strand (a hollow ס-ו-ר verb). They share the consonantal skeleton but not the meaning, so the nouns below group under whichever sense they serve.
Same root letters, different noun moulds (mishkalim). The mould tells you the function: who does it, the act of doing it, or the thing produced.
Strip the prefixes, suffixes and vowels. Three consonants remain, and the meaning lives there.