Height Converter

How to Convert Height

Converting height between different units of measurement is a common task in many fields. Here's a comprehensive guide on how to perform these conversions accurately.

Height Conversion Formulas

The key formulas for height conversion are:

1. Feet to Centimeters: $$cm = ft \times 30.48$$
2. Inches to Centimeters: $$cm = in \times 2.54$$
3. Centimeters to Inches: $$in = cm \div 2.54$$
4. Inches to Feet and Inches: $$ft = \lfloor in \div 12 \rfloor$$ and $$remaining\_inches = in - (ft \times 12)$$

Where:

• cm = centimeters
• ft = feet
• in = inches
• ⌊ ⌋ represents the floor function (rounding down to the nearest integer)

Calculation Steps

1. Identify the input unit (feet, inches, or centimeters)
2. Convert the input to centimeters using the appropriate formula
3. Convert centimeters to other desired units using the relevant formulas

Example Calculation

Let's convert 5 feet 9 inches to centimeters and then back to feet and inches.

Step 1: Convert feet and inches to total inches

$$\begin{align} totalInches &= (5 \times 12) + 9 \\ &= 60 + 9 \\ &= 69 \text{ inches} \end{align}$$

Step 2: Convert inches to centimeters

$$\begin{align} cm &= 69 \times 2.54 \\ &= 175.26 \text{ cm} \end{align}$$

Step 3: Convert centimeters back to inches

$$\begin{align} in &= 175.26 \div 2.54 \\ &= 69 \text{ inches} \end{align}$$

Step 4: Convert total inches to feet and inches

$$\begin{align} ft &= \lfloor 69 \div 12 \rfloor \\ &= 5 \text{ feet} \end{align}$$

$$\begin{align} remaining\_inches &= 69 - (5 \times 12) \\ &= 69 - 60 \\ &= 9 \text{ inches} \end{align}$$

Therefore, 5 feet 9 inches is equal to 175.26 cm, and when converted back, it remains 5 feet 9 inches.

Visual Representation

This bar chart compares the height of 5 feet 9 inches in different units. It visually demonstrates the equivalence between 175.26 cm, 5.75 feet, and 69 inches, helping to interpret the converted values across different measurement systems.