Circle Calculator

Calculate circle properties

Circle Properties

Circle Calculator

Calculate circle properties including area, circumference, diameter, and radius. Essential for mathematics, engineering, and design.

How to Use Circle Calculator

  1. 1.**Enter any one value**: radius, diameter, or circumference
  2. 2.**Click "Calculate Circle"** to get all properties
  3. 3.**View results** for all circle measurements
  4. 4.**Use any input** to calculate the others

Features

  • **Multiple Inputs**: Use radius, diameter, or circumference
  • **Complete Results**: Calculate all circle properties
  • **Real-time Calculation**: Instant results
  • **Formula Display**: Shows calculation methods

Circle Formulas

Area

A = π × r²

Circumference

C = 2 × π × r

Diameter

D = 2 × r

Radius

r = D/2 = C/(2π)

Circle Properties

  • **Radius**: Distance from center to edge
  • **Diameter**: Distance across the circle through center
  • **Circumference**: Distance around the circle
  • **Area**: Space inside the circle
  • **Pi (π)**: Approximately 3.14159

Common Applications

  • **Construction**: Circular foundations, pipes, tanks
  • **Design**: Round tables, wheels, logos
  • **Engineering**: Gears, bearings, pulleys
  • **Mathematics**: Geometry problems, proofs
  • **Everyday**: Pizza, cakes, circular objects

Practical Examples

  • **Pizza**: 12" diameter = 6" radius = 113.1 sq in area
  • **Wheel**: 24" diameter = 75.4" circumference
  • **Pipe**: 4" radius = 8" diameter = 50.3" circumference
  • **Garden**: 10' radius = 314.2 sq ft area

Tips for Using Circle Calculator

  • **Use consistent units** for all measurements
  • **Enter any one value** to calculate others
  • **Round appropriately** for practical applications
  • **Consider tolerances** for manufacturing
  • **Add waste factor** for materials

Circle Facts

  • **Pi is irrational**: Never-ending decimal
  • **Circle has infinite symmetry**: Looks the same from any angle
  • **Maximum area**: Circle has maximum area for given perimeter
  • **Constant ratio**: Circumference to diameter is always π

Unit Conversions

  • **1 foot** = 12 inches
  • **1 meter** = 3.281 feet
  • **1 inch** = 2.54 centimeters
  • **π radians** = 180 degrees