Circumference of a Cylinder Calculator
Calculate cylinder base circumference, radius, and diameter with step-by-step solutions
Cylinder Base Measurements
Distance from center to edge
Distance across cylinder base
Perimeter around cylinder base
Cylinder Base Results
Step-by-Step Solution
Example Calculation
Problem
Find the circumference of a cylinder base with a radius of 5 cm.
Solution
Given: Radius (r) = 5 cm
Formula: C = 2πr
Calculate: C = 2 × π × 5 = 10π ≈ 31.416 cm
Result: The circumference of the cylinder base is approximately 31.416 cm.
Cylinder Base Formulas
Circumference
Diameter
Radius
Cylinder Properties
Understanding Cylinder Circumference
What is Cylinder Circumference?
The circumference of a cylinder refers to the perimeter of its circular base. Since a cylinder is formed by extending a circle along a height dimension, the circumference remains constant throughout the cylinder's height.
Key Relationships
- •Diameter = 2 × Radius: The diameter spans the full width of the base
- •C = 2πr: Circumference is proportional to radius
- •C = πd: Circumference equals π times diameter
- •Constant throughout height: All horizontal cross-sections have the same circumference
Practical Applications
- •Plumbing: Calculating pipe circumferences for fittings
- •Manufacturing: Designing cylindrical products and containers
- •Engineering: Structural design of columns and supports
- •Construction: Material calculations for cylindrical structures
Fun Fact: The circumference of a cylinder is the same as the width of the rectangle you'd get if you "unwrapped" the curved surface of the cylinder!
Cylinder Volume from Circumference
Step-by-Step Process
1. From circumference, find radius: r = C/(2π)
2. Calculate base area: A = πr²
3. Multiply by height: V = A × h = πr²h
Direct Formula
Where C is circumference and h is height