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Circle Calculator

Calculate all circle properties — area, circumference, diameter and radius — from any single known value. Enter any one measurement and get all the others instantly.

⚡ Instant results 🔒 Runs in your browser 📋 Copy & download ✅ Free, no sign-up
Circle Calculator
Enter values and click Calculate

📚How to Use

  1. 1
    Enter your values

    Select which measurement you know, enter the value, and all other circle properties are calculated instantly.

  2. 2
    Click Calculate

    Press Calculate. All results appear instantly in your browser. No data is sent to any server.

  3. 3
    Review and save results

    See your complete results with all key figures. Use Copy or Download to save them for your records.

📊Quick Reference

PropertyFormula
Areaπ x r²
Circumference2 x π x r
Diameter2 x r
Pi value3.14159265...

Frequently Asked Questions

What is the relationship between radius, diameter and circumference?

Diameter = 2 x radius. Circumference = pi x diameter = 2 x pi x radius.

What is pi?

Pi ≈ 3.14159265358979 — the ratio of any circle circumference to its diameter.

How do I calculate area from circumference?

First find radius: circumference / (2 x pi). Then area = pi x radius squared.

What is a chord, arc and sector?

A chord is a line between two points on the circle. An arc is part of the circumference. A sector is a pie-slice region.

What is the difference between circumference and perimeter?

Circumference is the specific term for a circle perimeter. Both measure total boundary length.

How do I find the radius from the area?

radius = square root of (area / pi). For area 50: radius = root of (50/3.14159) = 3.99 units.

What is the unit circle?

A circle with radius 1 centred at the origin. Points on it are (cos theta, sin theta).

How are circles used in real-world calculations?

Room areas, wheel circumference, tank design, pipe cross-sections and road arc lengths.