Enter bore diameter in millimeters.
Cylinder diameter (inner)
Enter stroke length in millimeters.
Piston travel distance
💡 Quick Reference:
Typical passenger car: 70–95mm bore, 70–100mm stroke.
Motorcycles: 50–110mm bore.
Formula: (π/4) × Bore² × Stroke × Cylinders.
Results auto-converted to cc, liters, and cubic inches.
Typical passenger car: 70–95mm bore, 70–100mm stroke.
Motorcycles: 50–110mm bore.
Formula: (π/4) × Bore² × Stroke × Cylinders.
Results auto-converted to cc, liters, and cubic inches.
Total Displacement
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Sources & Methodology
Engine displacement formula is the standard SAE International and ISO 1585 automotive engineering definition used worldwide by all major engine manufacturers.
SAE International — J1940 Engine Displacement Standard
Industry standard definition of engine displacement, bore, stroke measurement methodology used by automotive engineers globally
Engineering Toolbox — Engine Displacement
Reference for engine displacement formula derivation and unit conversion factors (cc, liters, cubic inches)
Formula: Displacement (cc) = (π / 4) × Bore² (mm) × Stroke (mm) × Cylinders. Liters = cc ÷ 1,000. Cubic inches = cc ÷ 16.387. Per-cylinder = total ÷ cylinders. Pi used to 10 decimal places for precision.
⏱ Last reviewed: April 2026
How Is Engine Displacement Calculated?
Engine displacement measures the total volume swept by all pistons during one complete stroke from bottom dead center (BDC) to top dead center (TDC). It is the single most important specification defining an engine’s breathing capacity — how much air and fuel mixture the engine can ingest per complete revolution cycle. Larger displacement generally provides more torque and potential power, though modern turbocharged engines challenge this assumption.
The Engine Displacement Formula
Displacement (cc) = (π/4) × Bore² × Stroke × Cylinders
Example: 4-cylinder engine, 80mm bore, 90mm stroke.
Per cylinder = (3.14159/4) × 80² × 90 = 0.7854 × 6,400 × 90 = 452.4 cc
Total = 452.4 × 4 = 1,809 cc = 1.8 liters = 110 cubic inches
Per cylinder = (3.14159/4) × 80² × 90 = 0.7854 × 6,400 × 90 = 452.4 cc
Total = 452.4 × 4 = 1,809 cc = 1.8 liters = 110 cubic inches
Common Engine Displacements Reference Table
| Engine | Bore (mm) | Stroke (mm) | Cyl. | Displacement |
|---|---|---|---|---|
| Honda K20 | 84 | 90 | 4 | 1,997 cc (2.0L) |
| Toyota 2JZ-GE | 86 | 86 | 6 | 2,997 cc (3.0L) |
| Subaru EJ257 | 99.5 | 79.0 | 4 | 2,457 cc (2.5L) |
| Chevy LS1 | 99.1 | 92.0 | 8 | 5,665 cc (5.7L) |
| Chevy 350 SBC | 101.6 | 88.4 | 8 | 5,735 cc (5.7L) |
| BMW M3 S65 | 92.0 | 75.2 | 8 | 3,999 cc (4.0L) |
Bore vs Stroke: Square, Oversquare, Undersquare
- Square engine (bore = stroke): Balanced torque and RPM range. Toyota 2JZ at 86×86mm is a perfect square engine.
- Oversquare (bore > stroke): Higher RPM capability, better high-end power. Most sports car and F1 engines are oversquare.
- Undersquare (stroke > bore): More torque at low RPM, typical in diesel engines, large cruiser motorcycles, and classic muscle cars.
How to Convert Between Displacement Units
| From | To | Multiply By | Example |
|---|---|---|---|
| cc | Liters | ÷ 1,000 | 1,998 cc = 1.998 L |
| Liters | cc | × 1,000 | 2.0 L = 2,000 cc |
| Cubic inches | cc | × 16.387 | 350 ci = 5,735 cc |
| cc | Cubic inches | ÷ 16.387 | 5,735 cc = 350 ci |
| Liters | Cubic inches | × 61.024 | 2.0 L = 122 ci |
💡 Marketing vs. actual displacement: Manufacturers often round displacement to the nearest 0.1L for naming. A Toyota 2.0L engine may be anywhere from 1,950 to 2,050 cc. The calculator shows the true calculated displacement — match your engine’s exact bore and stroke from the factory service manual for the most accurate result.
Frequently Asked Questions
Engine displacement = (π/4) × Bore² × Stroke × Cylinders. Where bore and stroke are in mm for cc result. Example: 80mm bore, 90mm stroke, 4 cylinders: (3.14159/4) × 6,400 × 90 × 4 = 1,809 cc = 1.8 liters.
Engine displacement is the total volume swept by all pistons during one complete stroke from bottom dead center to top dead center. It measures the engine’s breathing capacity and is expressed in cc, liters, or cubic inches. Larger displacement generally means more power potential.
Bore is the diameter of each cylinder (in mm or inches). Stroke is the distance the piston travels from top to bottom of its travel (in mm or inches). Together they define cylinder geometry. A square engine has equal bore and stroke; oversquare has bore larger than stroke; undersquare has stroke larger than bore.
Divide cc by 1,000 to get liters. 1,998 cc = 1.998 liters (marketed as 2.0L). Multiply liters by 61.024 to get cubic inches: 2.0L = 122 cubic inches. Multiply cubic inches by 16.387 to get cc: 350 ci = 5,735 cc.
A 350 cubic inch engine is 5.74 liters (350 ÷ 61.024 = 5.735). This is the classic Chevrolet Small Block 350 V8. It is commonly referred to as a 5.7L engine in metric markets.
More displacement provides more power potential and especially more torque, but it is not the only factor. Modern turbocharged small-displacement engines often outperform larger naturally aspirated engines. Compression ratio, valve timing, forced induction, and engine management all significantly affect output.
Single cylinder = (π/4) × Bore² × Stroke. For 80mm bore, 90mm stroke: (3.14159/4) × 6,400 × 90 = 452.4 cc per cylinder. Multiply by cylinder count for total displacement.
1000cc = 1.0 liter = 61 cubic inches. This is a small displacement, common in economy cars, motorcycles, and karts. It produces modest power naturally aspirated but can generate significant power with turbocharging.
Motorcycle displacement uses the same formula: (π/4) × Bore² × Stroke × Cylinders, expressed in cc. Motorcycles range from 50cc scooters to 1,800cc+ cruisers. Engine class in motorcycle racing is defined by displacement categories: 250cc, 300cc, 600cc, 1000cc.
Square: bore equals stroke (balanced). Oversquare: bore larger than stroke (high RPM, sports cars, F1). Undersquare: stroke larger than bore (more low-RPM torque, typical in diesels and large cruiser motorcycles).
Multiply cubic inches by 16.387 to get cc. 350 ci × 16.387 = 5,735 cc = 5.74 liters. To convert cc to cubic inches, divide by 16.387: 2,000 cc ÷ 16.387 = 122 ci.
Piston displacement per cylinder = (π / 4) × Bore² × Stroke. The π/4 factor comes from the area of a circle formula (π × r² = π/4 × d² where d is diameter). Total engine displacement = single cylinder displacement × number of cylinders.
Many countries base vehicle registration taxes, road tax, and insurance premiums partly on engine displacement. In the UK, Japan, and much of Europe, larger displacement means higher annual road tax. Some US states use engine size for emissions classification. Turbocharged small engines often pay less tax despite producing more power than their displacement suggests.
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