Diameter Converter
Convert diameter in inches, mm and cm - or find diameter from circumference.
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Table of Contents
Comprehensive Guide to Diameter and Circumference
Diameter is the straight-line distance across a circle, passing through its center. It is twice the radius (d = 2r). Circumference is the distance around the circle. Radius, diameter and circumference are three ways to describe the same round object - once you know one, you can calculate the others with π (pi ≈ 3.14159).
In workshops and on job sites, diameter conversions matter because suppliers, drawings and tools do not always use the same unit. A European bearing catalog lists bore diameter in millimeters; a US drill index lists bit diameter in fractional inches. This guide explains the math, the measurement tricks, and the real-world naming conventions that trip people up.
Diameter, radius and circumference compared
| Term | Definition | Symbol |
|---|---|---|
| Radius | Center to edge | r |
| Diameter | Widest distance across the circle | d |
| Circumference | Length around the circle | C |
Key formulas
| Relationship | Formula |
|---|---|
| Circumference from diameter | C = π × d |
| Diameter from circumference | d = C ÷ π |
| Diameter from radius | d = 2 × r |
| Circumference from radius | C = 2 × π × r |
| Area of a circle | A = π × r² = π × (d/2)² |
Worked example: a wheel with 650 mm circumference has diameter 650 ÷ π ≈ 207 mm. Our calculator performs this instantly so you do not need to memorize π.
Inner diameter (ID) vs outer diameter (OD)
Pipes, tubes, rings and bearings are often specified by both inner and outer diameter. Wall thickness equals (OD - ID) ÷ 2. When buying fittings, confirm whether the catalog refers to nominal pipe size, outside diameter, or inside diameter - they are not interchangeable.
- OD (outer diameter): Used for clamps, o-rings on the outside of a tube, and matching external tooling.
- ID (inner diameter): Used for fluid flow capacity, inserting a shaft, or choosing a drill size for a hole.
- Nominal size: A trade name (e.g. 1/2" pipe) that does not equal the measured OD in inches.
Inches and millimeters
US pipe and hardware catalogs often list nominal sizes in inches, while metric drawings use millimeters. The exact conversion is 1 inch = 25.4 mm (international standard). Use this for true diameters; do not assume a "1 inch" pipe measures 25.4 mm on the outside.
| Nominal US pipe | Typical OD (in) | Typical OD (mm) |
|---|---|---|
| 1/2\" | 0.840 | 21.3 |
| 3/4\" | 1.050 | 26.7 |
| 1\" | 1.315 | 33.4 |
| 2\" | 2.375 | 60.3 |
Values are approximate schedule 40 steel pipe ODs. Plastic PVC and copper types differ - always measure or check the datasheet.
Common metric bolt shank diameters
Metric bolts are named by shank diameter in millimeters (M6 = 6 mm nominal shank). The thread major diameter is close to but not always identical to the shank on all fastener grades.
| Designation | Diameter (mm) | Diameter (in) |
|---|---|---|
| M6 | 6 | 0.236 |
| M8 | 8 | 0.315 |
| M10 | 10 | 0.394 |
| M12 | 12 | 0.472 |
How to measure diameter in the field
You rarely have direct access to the center of a large pipe or tree. Practical methods:
- Calipers: best for bolts, drill bits and small rods (inside or outside jaws).
- Tape around the object: measure circumference, then use d = C ÷ π (this calculator's second mode).
- Micrometer or Pi tape: purpose tools for circumference and diameter on large cylinders.
- Two rulers (chord method): for rough estimates only; less accurate than circumference.
For soft or irregular shapes (hose, insulation), pull the tape snug but not so tight that you compress the material.
Typical applications
- Plumbing: matching pipe OD to fittings, repair clamps and hole saws
- Automotive: wheel rim diameter, tire bead circumference, bolt circle (PCD)
- Machining: drill bit and reamer size, bearing press-fit bores
- Electrical: conduit and cable gland entry holes
- Woodworking: round table tops, dowel pins, hole saw selection
- Garden and forestry: tree DBH (diameter at breast height) from tape measure
Frequently asked questions
- What value of π should I use?
- Use at least 3.14159 for workshop accuracy. This tool uses full floating-point precision internally.
- Can I convert radius instead of diameter?
- Yes: enter radius × 2 in the diameter field, or multiply your radius result by 2 after converting.
- Why does my measured pipe not match the chart?
- Schedule, material (steel vs PVC) and standard (NPS vs DN) change actual OD. Nominal size is a label, not a ruler measurement.
- Is circumference the same as perimeter?
- For a circle, yes - circumference is the perimeter. For other shapes, use the appropriate perimeter formula instead of π × d.
Pro Tip:
When ordering hole saws or arbor-mounted cutters, suppliers often list diameter in mm and inches. Convert both ways here, then round to the tool size actually sold in your region.
How to Use the Diameter Converter
Choose the mode that matches what you measured, then enter a positive value. The calculator accepts decimals (e.g. 0.5 for half an inch, 21.3 for pipe OD).
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1Convert diameter: Enter the diameter you know and select its unit (mm, in or cm). The tool shows diameter in all three units plus circumference in millimeters.
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2From circumference: Switch mode, wrap a flexible tape around the object, enter the circumference and unit. Ideal for pipes, posts and wheels when calipers cannot reach across.
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3Click Calculate. Compare mm, cm and in results with your drawing or supplier catalog.
When to use each mode
- Diameter mode: you measured across with calipers, or the spec sheet lists bore/shank size.
- Circumference mode: you only have a tape measure around the outside (trees, ducts, installed pipe).
When you only have a radius, multiply by 2 before converting, or enter radius × 2 as the diameter. For fractional inches (1/4, 3/8), convert to decimal first (0.25, 0.375) or use our inches-to-mm converter.
Common Mistakes to Avoid
- Confusing nominal and actual diameter: A 3/4" pipe name does not mean 0.75 inch OD. Always measure or look up the real OD table.
- Using diameter when you measured radius: Halving instead of doubling is a frequent error - radius is center to edge only.
- Dividing by 3.14 instead of π: For circumference-to-diameter, use C ÷ π. Using 3.14 adds small error that matters on precision fits.
- Mixing ID and OD: A fitting sized for 50 mm OD tube will not work on 50 mm ID pipe. Confirm which surface you measured.
- Ignoring worn or oval shapes: Take two circumference readings at 90° and average them if the section is not perfectly round.
Quick troubleshooting
Result seems too large: Check that you entered diameter in the diameter mode, not circumference (or vice versa).
Does not match catalog: Verify material standard (NPS, DN, ISO) and whether the spec is ID or OD.
Common Examples
Example 1 1 inch diameter to mm
1 in x 25.4 = 25.4 mm
C = π × 25.4 ≈ 79.8 mm
Example 2 10 mm diameter to inches
10 / 25.4 = 0.3937 in
Example 3 Circumference 314 mm to diameter
d = 314 ÷ π ≈ 99.95 mm
Example 4 M8 bolt (approx.)
Shank diameter ~ 8 mm (0.315 in)
Related tools: Inches to cm, Imperial to metric chart.