Cylinder Area Calculator
Enter the radius and height to calculate the total, lateral, or base area of a cylinder.
What is the area of a cylinder?
A cylinder has two identical circular bases and one curved side. Depending on what you need, “area of a cylinder” can mean one of three things:
- Base area: area of one circular end.
- Lateral area: area of the curved side only.
- Total surface area: lateral area plus both circular bases.
This calculator handles all three so you can quickly solve geometry homework, engineering estimates, packaging calculations, and real-world design problems.
Formulas used in this calculator
1) Area of one circular base
For radius r:
Abase = πr²
2) Lateral (curved) surface area
For radius r and height h:
Alateral = 2πrh
3) Total surface area
The total includes both bases and the curved side:
Atotal = 2πr² + 2πrh = 2πr(r + h)
How to use the calculator
- Select the area type you want (total, lateral, base, or all).
- Enter the radius.
- Enter the height (required for lateral and total area).
- Optionally enter a unit label like cm, m, or in.
- Click Calculate to see results.
Results are reported in squared units, such as cm² or m².
Worked example
Suppose a cylinder has radius 4 cm and height 10 cm:
- Base area: π(4²) = 16π ≈ 50.27 cm²
- Lateral area: 2π(4)(10) = 80π ≈ 251.33 cm²
- Total surface area: 2π(4)(4 + 10) = 112π ≈ 351.86 cm²
Common mistakes to avoid
- Using diameter when the formula requires radius.
- Forgetting to square the radius in πr².
- Mixing units (for example, radius in cm and height in m).
- Confusing lateral area with total surface area.
Where cylinder area is used
Cylinder area calculations show up in many fields:
- Manufacturing: sheet material needed for cans, pipes, and tanks.
- Construction: paint and coating estimates for columns and silos.
- Science classes: geometry and measurement practice.
- Everyday projects: wrapping labels around jars or bottles.
Quick FAQ
Do I need height for base area?
No. Base area depends only on radius.
Can I use decimals?
Yes. The calculator supports decimal values.
What if I only know diameter?
Divide the diameter by 2 to get the radius, then enter that value.