Circle Geometry Calculator

Calculate Area, Circumference, and Diameter from Radius.

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Inputs

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Results

Area
Circumference31.42
Diameter10

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Assumptions

  • The radius is entered in a linear unit, and outputs use the matching linear or square unit.
  • Radius is treated as a non-negative length.
  • Pi is approximated with JavaScript's built-in Math.PI constant.

Sensitivity preview

Radius -10%: Area 63.62

Radius Current: Area 78.54

Radius +10%: Area 95.03

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About this Circle Calculator

Circles are defined by a single dimension: the radius. From this one number, you can derive the diameter, circumference (perimeter), and area.

Who this calculator is for

  • Students practicing circle geometry with radius, diameter, circumference, and area.
  • DIYers, builders, and planners measuring circular objects, tables, pipes, or garden beds.
  • Anyone who wants to move quickly from radius to the other core circle measurements.

When to use it

  • Use this calculator when you know the radius and need area, circumference, and diameter together.
  • Use it before switching to area, surface area, or volume problems involving cylinders, cones, or spheres.
  • Use it to check circle formulas without doing repeated Pi calculations by hand.

How to use this calculator

  1. Enter the Radius (distance from center to edge).

Key assumptions

  • The radius is entered in a linear unit, and outputs use the matching linear or square unit.
  • Radius is treated as a non-negative length.
  • Pi is approximated with JavaScript's built-in Math.PI constant.

Accuracy and testing

Review formula sources, default test cases, assumptions, unit handling, rounding rules, and changelog for this calculator.

View accuracy page

How this calculator works

Diameter = 2 × r Circumference = 2 × π × r Area = π × r²

Inputs explained

Radius

The distance from the center of the circle to any point on its edge.

Example scenarios

Radius 5

Diameter: 10. Circumference: ~31.42. Area: ~78.54.

Key Features

  • Instant Calculation
  • Private & Secure
  • Mobile Optimized

Frequently Asked Questions

What is Pi (π)?
Pi is the ratio of a circle's circumference to its diameter. It is approximately 3.14159.
How do I find radius if I have diameter?
Simply divide the diameter by 2.
Why is area measured in square units?
Because area represents the 2D space filled. Even for a circle, we measure how many 'unit squares' fit inside.