1: ἀνάγκη
(Strong's #318 — Noun Feminine — ananke — an-ang-kay' )

signifies (a) "a necessity," what must needs be (see NEEDS), translated "necessity" (in some mss. in Luke 23:17 ) in 1—Corinthians 7:37; 9:16; 2—Corinthians 9:7 (with ek "out of"); Philemon 1:14 (with kata, "according to"); Hebrews 7:12; 9:16; (b) "distress, pain," translated "necessities" in 2—Corinthians 6:4; 12:10 . See DISTRESS , No. 1, and the synonymous words there, and NEEDS, NEEDFUL (also CONSTRAIN, Note).

2: χρεία
(Strong's #5532 — Noun Feminine — chreia — khri'-ah )

"a need," and almost always so translated, is used in the plural in Acts 20:34 , "necessities;" Romans 12:13 , RV (AV, "necessity"); in Philippians 4:16 , AV, "necessity," RV, "need." See NEED , NEEDFUL.