Convert mm to mm2 Calculator

Wire Cross-Sectional Area Formula:

\[ mm² = \pi \times \left(\frac{d}{2}\right)^2 \times 1000 \]

Cross-Sectional Area:

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1. What is Wire Cross-Sectional Area?

The cross-sectional area of a wire is the area of the wire's circular face, which determines its current-carrying capacity and resistance. It's typically measured in square millimeters (mm²).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ mm² = \pi \times \left(\frac{d}{2}\right)^2 \times 1000 \]

Where:

\( d \) — Diameter of the wire in millimeters (mm)
\( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the area of a circle (πr²) where the radius is half the diameter, then multiplies by 1000 to convert to mm².

3. Importance of Cross-Sectional Area

Details: The cross-sectional area directly affects the wire's electrical properties - larger area means lower resistance and higher current capacity.

4. Using the Calculator

Tips: Enter the wire diameter in millimeters. The value must be greater than 0. The result will be in square millimeters (mm²).

5. Frequently Asked Questions (FAQ)

Q1: Why is cross-sectional area important?
A: It determines current capacity, voltage drop, and resistance in electrical applications.

Q2: How does diameter affect area?
A: Area increases with the square of the diameter - doubling diameter quadruples the area.

Q3: What's the difference between mm and mm²?
A: mm measures length/diameter, while mm² measures area.

Q4: Can I use this for non-circular conductors?
A: No, this formula is specific to circular cross-sections.

Q5: Why multiply by 1000?
A: This converts the result from cm² to mm² (1 cm² = 1000 mm²).