calculated by the formula vs calculated from the formula

Both phrases are correct, but they are used in slightly different contexts. 'Calculated by the formula' is used when referring to the method or process of calculation specified by the formula. On the other hand, 'calculated from the formula' is used when indicating that the result is derived using the formula as a basis.

Last updated: March 27, 2024

calculated by the formula

This phrase is correct and commonly used in English.

This phrase is used to indicate that the calculation is performed according to the method or process specified by the formula.

Examples:

The area of a circle can be calculated by the formula A = πr^2.

Alternatives:

computed using the formula
determined by the formula
found by the formula
derived from the formula
obtained through the formula

calculated from the formula

This phrase is correct and commonly used in English.

This phrase is used to indicate that the result is obtained based on the formula provided.

Examples:

The final velocity can be calculated from the formula v = u + at.

Alternatives:

derived from the formula
obtained using the formula
found from the formula
computed from the formula
determined by the formula

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calculated by the formula vs calculated from the formula