Relation Between Inch and Centimeter

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Jasmine Grover

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Conversion of units refers to the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors. Measurements are generally converted to unitary measurements but sometimes it may be converted to use a system that has been developed for a specific purpose.The conversion factor is a number which we multiply or divide in converting units of measurement. To change any measurement from one unit to another, you can use the appropriate conversion factor in a mathematical operation. Inches and centimeters (cm) are the two most popular units of length. Inch is used in the imperial system of measurement for length whereas centimeter (cm) is used in the metric system of measurement for length. One inch is equal to 2.54 centimeters (1 inch = 2.54 cm). The corresponding relation between centimeter and inch is 1cm = 0.393701 inch


Inch

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"Inch" is derived from the old English word "inke" and the Latin word "uncia," which originated from the Latin word "unum." Inch was historically used for measuring coins. Other units of length that are derived from the inch include: mile, yard, furlong, chain, rod, link and perch. The inch is a unit of length in both the Imperial and US Customary systems of measurement.

One inch is defined as 1/12 of a foot and is therefore 1/36 of a yard.

An inch is a unit of measurement in the American Standard of measurements. As the international yard is legally defined to be equal to exactly 0.9144 meters, one inch is equal to 25.4 millimeters.


Representation Of Inch

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The same representations of inches are not used in all countries: mathematical notation is also used to represent decimal fractions, especially when they do not need to be written in grouped form. These fractions are often made by adding a “-th” after the number. So one-quarter of an inch is ¼”

  • 1” = One inch,
  • ½” = one half of an inch,
  • ¼” = one-quarter of an inch,
  • 1/8” = one-eighth of an inch,
  • 1/16” = one-sixteenth of an inch.

Centimeter

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The centimeter is known as a unit of length in the metric system. It is equivalent to one hundredth of a meter. Centimeters may be written as cm. A centimeter is equal to 0.3937 inches and there are 2.54 centimeters in an inch.

It is separated from the meter by an SI prefix "centi", symbol c. It is defined in terms of the meter rather than as an SI base unit. Basically, the centimeter is the unit to record length, and it is the basis of other units. The centimeter is considered as the multiple unit of meter (10 meter = 1 decimeter, 10 decimeter = 1 meter).

Representation Of Centimeter

"Centimeter" means it is 1/100 of a meter or 1/39.37 of an inch, therefore one meter is equal to 100 centimeters and 2.54 cm = 1 inch.

Centimeter or cm is a unit of length measurement in the metric system. 1cm = 0.01 meter or 1 centimeter = 10 millimeter.

1 Centimeter (cm) is equal to 0.01 meter. To convert cm to meters, multiply the centimeter value by 0.01 or divide by 100. For example, to find out how many meters in a centimeter and a half, multiply 1.5 by 0.01, that makes 0.015 m in 1.5 cm.


Conversion from Cm to Inches

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1 centimeter equals 0.3937007874 inches in a metric measurement. A centimeter is a unit of length in the International System of Units (SI), serving as a bridge between the metric system and the imperial system. You can convert between cm and inches, kilos and pounds, feet and meters with this simple conversion chart.

Centimeter Inches in Decimal Inches in Fraction
1 cm 0.3937 in 25/64 in
2 cm 0.7874 in 25/32 in
3 cm 1.1811 in 1 (3/16) in
4 cm 1.5748 in 1 (37/64) in
5 cm 1.9685 in 1 (31/32) in
6 cm 2.3622 in 2 (23/64) in
7 cm 2.7559 in 2 (3/4) in
8 cm 3.1496 in 3 (5/32) in
9 cm 3.5433 in 3 (35/64) in
10 cm 3.9370 in 3 (15/16)

Difference Between Inch And Centimeter

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Inches and centimeters are two units that are used to measure length. Inches is the imperial and US customary unit for measuring length. Centimeters is a metric unit for measuring lengths and distances.

  • A centimeter is equal to 0.39 inches, while a foot is equal to 12 inches. To convert from feet and inches to centimeters, first convert any remainder inches into feet by dividing by twelve. Then, add the fractions together to get the total number of feet. Multiply that amount by 30.48 to find the number of centimeters in the sum.
  • An inch is a unit of measurement in the American Standard of measurements. Twelve inches equals one foot. The inch is further divided into smaller units. There are 16 units in one inch. Each unit being one sixteenth of an inch (or 1/16th of an inch).
  • The basis of the metric system, which is used globally today, was originally based on the dimensions of the Earth. Today it uses prefixes that can be applied to its basic units to create multiple units that are larger or smaller than the base unit. Millimeters, centimeters and meters are all units in the metric system.

The inch is mostly used in the United States, Canada and the United Kingdom, while the centimeter is predominant elsewhere. When converting from cm to inch, or a reverse calculation from inch to cm. To convert centimeter to inch (cm to inches) divide the centimeter value by 2.54. To convert centimeters to feet, divide the centimeter value by 30.48. To convert foot to centimeter multiply the foot value by 30.48. Likewise, to convert inch to cm, multiply the length in inches by 2.54.


Things To Remember

  • An inch is a unit of measurement in the American Standard of measurements.
  • The centimeter is the unit to record length, and it is the basis of other units.
  • A ruler is divided into inches and centimeters. The standard US ruler shows inches, with marks dividing each inch into 16 parts.
  • Inch is an English unit of length. It is measured in inches with an inch symbol “”. One inch is equal to 2.54 cm, 1/36 yard or 1/12 of a foot.
  • The abbreviation of centimeter is “cm”.
  • Inch and centimeter both are the units used to measure length.

Sample Questions

Ques. A five feet tall person is 60 inches tall. Calculate how many centimeters tall is a five feet person. (3 marks)

Ans. We know that,

60 in = 60 in x (2.54 cm/ 1 in)

Now cancel out inches,

We get

60 in = 60 x 2.54

60 in = 152.4 cm

Therefore, a five feet person is 152.4 centimeters tall.

Ques. Convert 5 cm into inches. (3 marks)

Ans. We know that 1 cm is approximately equal to 0.393701 inches.

To convert 5 cm into inches, multiply 5 cm by 0.393701 inches.

= 5 x 0.393701 inches

=1.9685 inches

Therefore 5 cm is equal to 1.9685 inches.

Ques. Convert 20 cm to inches. (3 marks)

Ans. We know that 1 cm = 0.393701 inches.

To convert 20 cm to inches, multiply 20 cm by 0.393701 inches.

= 20 x 0.393701 inches

= 7.87402 inches

Therefore 20 cm is equal to 7.874 inches.

Ques. Convert 25 cm into inches. (3 marks)

Ans. We know that 1 cm = 0.393701 inches.

To convert 25 cm into inches, multiply 25 cm by 0.393701 inches.

= 25 x 0.393701 inches

= 9.84252 inches

Therefore 25 cm is equal to 9.84252 inches.

Ques. What is 1cm equal to in inches? (1 mark)

Ans. 1cm measures 0.3937 inches in decimal and 25/64 inches in fraction.

Ques. How to convert the Centimeters to inches? (3 marks)

Ans. To convert centimeters into inches, multiply the given centimeter value by 0.393701 inches.

For example 20 cm to inches is equal to 7.87402 inches. (i.e.)

20 x 0.393701 = 7.87402.

The formula is: (number of centimeters) × 0.39 = ( number of inches).

Ques. Convert 30 inches to Centimeters. (5 marks)

Ans. Given Input Value = 30 Inches

As per the formula cm = in x 2.54

Applying the given values in the above Inch to Centimeter Conversion formula we get the result as such

1 cm = 30*2.54

= 76.2 Centimeters

∴ 30 Inches = 76.2 Centimeters

Ques. How many are there in 17cm? (2 marks)

Ans. 17 centimeters is equal to 6.69291 inches.

17 x 0.393701 = 6.69291 inches

Ques. Is the centimeter less than a half of an inch? (1 marks)

Ans. Yes. Since an inch equals about 2 ½ centimeters, a half inch would equal about 1 ¼ centimeters.

Ques. What are the current uses of centimeters and inches? (2 marks)

Ans. Centimeters are broadly used to measure height and distance between the objects together with the dimension.

Inch is used to measure the height and size of display screens around the world.

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