What context can I use each word in?
Learn when and how to use these words with these examples!
theorem
Example
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. [theorem: noun]
Example
We can prove this theorem using mathematical induction. [theorem: noun]
formula
Example
The formula for calculating the area of a circle is pi times the radius squared. [formula: noun]
Example
This chemical formula shows the composition of water as H2O. [formula: noun]
Good things to know
Which word is more common?
Formula is more commonly used than theorem in everyday language, especially in contexts outside of mathematics and science. However, theorem is an essential concept in academic and scientific fields.
What’s the difference in the tone of formality between theorem and formula?
Theorem is typically associated with a more formal tone and is used primarily in academic or scientific settings, while formula can be used in both formal and informal contexts.
