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The word that means to get facts or context to figure out what is being implied by reading between the lines is "infer."
radius
five
angle
The answer is {Angle}
Angle
angel
A closed geometric figure could be called a polylateral - but that is a very obscure word - or simply a polygon. Generally such a figure is referred to in terms of how many lines it is composed of: 3 = triangle 4= quadrilateral 5 = pentagon, etc.
"Anted" is a five-letter word.
Tulip is a 5 letter word. It can be made from the letters in the word uplift.
Pentagle is the synonym word for pentagram. Pentagram is a five cornered star shaped figure.
aired