The inches to cm converter is an online application where the conversion of inches to cm or cm to inches can take place without any complicated calculation. The calculator when fed with the inch measurement converts it into cm in a matter of seconds. In this article, we will learn about the relation between inches, feet and cm and their interconversion procedures. But, before moving on to the conversion mechanism, let us first be familiar with the terms inches, centimetres and feet.
An inch is a measurement length that is generally used in US standards of measurement of length. Inch is the basic unit of measurement used for measuring height, TV screens, electronic device displays etc. It is mainly represented by ‘in’ or the symbol of “.
In the International System of Units, a centimetre is the sub-multiple unit of length in the metric system. It is used as the basic measuring unit in meter scales and school ruler. The waist size of trousers, length of fish or the radius of tyres are some of the places where centimetre is used as the unit of measurement. It is denoted by the term ‘cm’.
In ancient times, people used their feet to measure things. But due to uneven sizes of everyone’s feet, it was not a very useful source of measurement. In 1959, the United States declared one foot as exactly 30.48 cm or 12 inches to be specific. It is used to measure the height of trees, monuments, humans, buildings etc. It is denoted as ‘ft’.
Centimetre and inches are both significant units of measurement of length. Interconversion of units between them is crucial knowledge in the field of measurement. Let us first understand the relationship between inches and cm.
1 inch is equal to 2.54 centimetres. This can be mathematically represented as:
1″ = 2.54cm
In order to convert inches to the centimetre, the value of the length in inches must be multiplied with 2.54 cm. We can say that if we have a measurement of L in, the measurement of the same length in inches is 2.54 times of L cm.
Let us look into the simplified formula of interconversion of measure of the height of length from inches to cm:
L in inch = L in cm x 2.54
For example, if you are asked to covert 11 inches to cm, the method to follow will be:
1 inch = 2.54 cm
Thus, 11 inches = 11 x 2.54 cm = 27.94 cm
In order to convert cm to inches, let us consider the fact that one inch is equivalent to 2.54 cm. Thus in order to find the inch equivalent of 1cm, we need to divide 1 inch by 2.54. The conversion procedure is as follows:-
1 cm = \[\frac{1}{2.54}\] inches
1cm = 0.3937007874 inches
Thus as a conversion formula for cm to inches stands as:
L in inch = L in cm x 0.3937007874
Or,
L in inch = \[\frac{\text{L in cm}}{2.54}\]
For Example: Convert 25 cm to inches.
1 cm = \[\frac{1}{2.54}\] inches
25 cm = \[\frac{25}{2.54}\] inches = 9.84251968504 in
As learned earlier, 1 foot is equivalent to 30.48 cm or 12 inches. Also, we know that 1 inch is equivalent to 2.54 cm.
1 ft = 30.48 cm
1 in = 2.54 cm
For the formula of conversion of feet and inches to cm, the representation goes as follows:
L in cm = L in ft × 30.48 + L in inch × 2.54
For Example: Convert 5 feet 4 inches to centimetres:
L in cm = 5ft × 30.48 + 4in × 2.54 = 162.56 cm
The conversion of a centimetre to inches and further to feet can be illustrated by the following example.
Suppose we have 130 cm as the measurement of a length. In order to convert it to inches the following step should be followed:
Length in inches = \[\frac{130}{2.54}\] inches = 51.1811023622 inches.
Now, as we know, 1 foot = 12 inches, in order to convert inches to feet we must divide foot by 12.
1 inch is equal to 1/12 feet:
1″ = 1/12 ft = 0.083333 ft
Thus, 51.1811023622 inches = \[\frac{51.1811023622}{12}\] feet = 4.26509186352 feet.
A marathon track is 4,219,500 cm long
Earth’s radius measures 637,816,500 cm
Earth’s circumference measures 4,007,519,200 cm
The distance of the moon from the earth is 38,440,000,000 cm
The distance of the sun from the earth is 14,959,378,000,000 cm!
Q1. Outline a Chart for Interconversion of Height from cm to Feet and Inches.
Ans: Given below is a chart for interconversion of height from cm to feet and inches:
Centimetres | Feet | Feet and Inches |
150 cm | 4.92 feet | 4 feet, 11.06 in |
151 cm | 4.95 feet | 4 feet, 11.45 in |
152 cm | 4.99 feet | 4 feet, 11.84 in |
153 cm | 5.02 feet | 5 feet, 0.24 in |
154 cm | 5.05 feet | 5 feet, 0.63 in |
155 cm | 5.09 feet | 5 feet, 1.02 in |
156 cm | 5.12 feet | 5 feet, 1.42 in |
157 cm | 5.15 feet | 5 feet, 1.81 in |
158 cm | 5.18 feet | 5 feet, 2.2 in |
159 cm | 5.22 feet | 5 feet, 2.6 in |
160 cm | 5.25 feet | 5 feet, 2.99 in |
161 cm | 5.28 feet | 5 feet, 3.39 in |
162 cm | 5.31 feet | 5 feet, 3.78 in |
163 cm | 5.35 feet | 5 feet, 4.17 in |
164 cm | 5.38 feet | 5 feet, 4.57 in |
165 cm | 5.41 feet | 5 feet, 4.96 in |
166 cm | 5.45 feet | 5 feet, 5.35 in |
167 cm | 5.48 feet | 5 feet, 5.75 in |
168 cm | 5.51 feet | 5 feet, 6.14 in |
169 cm | 5.54 feet | 5 feet, 6.54 in |
170 cm | 5.58 feet | 5 feet, 6.93 in |
171 cm | 5.61 feet | 5 feet, 7.32 in |
172 cm | 5.64 feet | 5 feet, 7.72 in |
173 cm | 5.68 feet | 5 feet, 8.11 in |
Q2. Represent a Tabular Form of Conversion of Inches to Common Units of Measurements.
Ans: Some important regularly used units of measurement and their relation with inches are mentioned below:
Inches | 1 |
Feet | 0.08333333333 inches |
Yards | 0.02777777778 inches |
Miles | 0.00001578282828 inches |
Nautical Miles | 0.00001371490281 inches |
centimetres | 2.54 inches |
Metres | 0.0254 inches |
Kilometres | 0.0000254 inches |
Q3. What are the Common Examples of Conversion from cm to Inches?
Ans: Common measurements in cm converted into inches:
Centimetres | Inches | Inches (in fraction) |
1cm | 0.3937 in | 25/64 |
10cm | 3.937 in | 3 (15/16) |
20cm | 7.874 in | 7 (⅞) |
30cm | 11.811 in | 11 (13/16) |
40cm | 15.748 in | 15(¾) |
50cm | 19.685 in | 19 (11/16) |
60cm | 23.622 in | 23 (⅝) |
70cm | 27.5591 in | 27 (9/16) |
80cm | 31.4961 in | 31(½) |
90cm | 35.4331 in | 35(7/16) |
100cm | 39.3701 in | 39(⅜) |