420 centimeters in inches

Conversion

420 centimeters is equivalent to 165.354330708661 inches.^[1]

Conversion formula
How to convert 420 centimeters to inches?

We know (by definition) that: $1 cm \approx 0.39370079 in$

We can set up a proportion to solve for the number of inches.

\frac{1 cm}{420 cm} \approx \frac{0.39370079 in}{x in}

Now, we cross multiply to solve for our unknown $x$ :

x in \approx \frac{420 cm}{1 cm} * 0.39370079 in \to x in \approx 165.3543318 in

Conclusion: $420 cm \approx 165.3543318 in$

420 centimeters is equivalent to 165.354330708661 inches

Conversion in the opposite direction

The inverse of the conversion factor is that 1 inch is equal to 0.00604761904761905 times 420 centimeters.

It can also be expressed as: 420 centimeters is equal to $\frac{1}{0.00604761904761905}$ inches.

Approximation

An approximate numerical result would be: four hundred and twenty centimeters is about one hundred and sixty-five point three four inches, or alternatively, a inch is about zero point zero one times four hundred and twenty centimeters.

Units involved

This is how the units in this conversion are defined:

Centimeters

A centimetre (symbol cm) or centimeter (American spelling) is a unit of length in the metric system, equal to one hundredth of a metre, centi being the SI prefix for a factor of 1⁄100.

Wikipedia page of centimeters

Inches

The inch (abbreviation: in or ″) is a unit of length in the imperial and United States customary systems of measurement now formally equal to 1⁄36 yard but usually understood as 1⁄12 of a foot. Derived from the Roman uncia (twelfth), inch is also sometimes used to translate related units in other measurement systems, usually understood as deriving from the width of the human thumb. Traditional standards for the exact length of an inch have varied in the past, but since the adoption of the international yard during the 1950s and 1960s it has been based on the metric system and defined as exactly 2.54 cm.

Wikipedia page of inches

Footnotes

[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).

Results may contain small errors due to the use of floating point arithmetic.

Conversion

Conversion formula How to convert 420 centimeters to inches?

Conversion in the opposite direction

Approximation

Conversion formula
How to convert 420 centimeters to inches?