Circle Calculator

Calculate all properties of a circle with just one known value

units
Enter a positive number
Diameter (D) Radius (r)
Circle Formulas
  • Diameter (D) D = 2r
  • Circumference (C) C = πD = 2πr
  • Area (A) A = πr²
Fast Calculations

Get instant results for any circle property with our optimized calculator.

Multiple Inputs

Calculate from radius, diameter, circumference, or area - whichever you know.

Visual Representation

Understand circle properties with our clear visual diagram.

About Circle Calculator

Our Circle Calculator is a powerful online tool designed to help students, teachers, engineers, and anyone working with circular shapes to quickly calculate all properties of a circle from any single known value.

How to Use the Circle Calculator

  1. Select the property you know (radius, diameter, circumference, or area)
  2. Enter the known value in the input field
  3. Choose your desired decimal precision
  4. Click "Calculate" to see all circle properties

Applications of Circle Calculations

Circle calculations are fundamental in many fields:

  • Mathematics Education: Essential for geometry students learning about circular shapes
  • Engineering: Used in designing circular components, pipes, wheels, and gears
  • Construction: Important for circular structures, arches, and landscaping
  • Manufacturing: Needed for producing circular objects and quality control
  • Science: Used in physics calculations involving circular motion

Understanding Circle Properties

A circle is a perfectly round shape where all points on its edge are equidistant from the center. The key properties of a circle are:

  • Radius (r): The distance from the center to any point on the circle
  • Diameter (D): The distance across the circle through the center (2 × radius)
  • Circumference (C): The distance around the circle (π × diameter)
  • Area (A): The space contained within the circle (π × radius²)

The constant π (pi) is approximately 3.14159 and represents the ratio of a circle's circumference to its diameter.