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Why do so many formulas in Geometry require Squaring?
Examples: E=MC Squared; the famous PiR Squared; A Squared + B Squared = C Squared. There must be some logic to squaring everything, but I don't get it.
2 Answers
- 1 decade agoFavorite Answer
A = pi*r^2 is an area formula, which requires 'square units' to be... well area... otherwise its just distance.
E = MC^2 dont ask me why its squared... and thats not geometry
A^2 + B^2 = C^2 ... This is basically operating on the Law of Sines for a Triangle, since Sin^2 + cos^2 = 1, they drop out:
A is the hight, so its (rsin)^2
B is the base, so its (rcos)^2
and C is the resultant, which just becomes r^2
The main reason for squaring in geometry, though, is to find area.
- GraceLv 41 decade ago
it is the way equations work they made the ² because is easier than writing out E= MC*MC
or (a*a)+(b*b)=(c*c)
