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Circle geometry

Circle Calculator

Calculate circle diameter, circumference, and area from a radius.

Interactive calculator

Calculate circle area and circumference

Enter a radius to calculate the diameter, circumference, and area of a circle.

Results

Diameter

15

Circumference

47.12389

Area

176.714587

How to use it

  1. 01Enter the radius of the circle.
  2. 02Review the diameter, circumference, and area.
  3. 03Use the result in geometry problems, material planning, or layout work.

Result guide

  • Diameter is always twice the radius.
  • Circumference gives the boundary length around the circle.
  • Area measures the total enclosed surface inside the circle.

About this calculator

Circle calculations are common in geometry, construction, machining, and schoolwork because radius-based measurements often need to be translated into area or perimeter quickly.

A focused circle page works well because one input can unlock the three most common outputs people usually need.

Frequently asked questions

Why does the formula use pi?

Because pi is the constant ratio that connects a circle's diameter, circumference, and area.

Can I start from diameter instead of radius?

You can, but this page expects radius, so you would first divide the diameter by 2.

Where is this useful outside school math?

It is useful in layout work, machining, material estimation, and any task involving circular parts or spaces.

DE
Per WHO guidelines / Peer-reviewed researchFormula version: 2026

Reviewed by Dr. Elena Rostova, MD, PhD

Medical Doctor & Clinical Nutrition Researcher

Reviews health index calculators, unit converter benchmarks, and mathematical models against WHO guidelines and peer-reviewed research.

Formula last verified: June 2026

Sources: Per WHO guidelines / Peer-reviewed research/Standard mathematical identities and arithmetic formulas/Cross-checks against spreadsheet and calculator test cases

Disclaimer: Calculator results are for general reference and educational purposes only per WHO standards. Health indexes and mathematical models are not a substitute for professional medical diagnosis, clinical nutrition, or certified trade advice.

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