Math

Circle Calculator

Calculate circumference and area from a circle radius.

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Circle Calculator

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How to use this circle calculator

Enter the requested values above and select Calculate. The result updates immediately on the page, so you can change one value and compare different scenarios without leaving the calculator.

Formula and method

Circumference = 2πr. Area = πr².

Example

A circle with radius 5 has circumference about 31.416 and area about 78.540 square units.

What this calculator is useful for

Calculate circumference and area from a circle radius. It is designed for quick estimates and everyday problem solving. When a calculation affects a contract, tax filing, medical decision or other high-stakes situation, verify the result with the appropriate professional or authoritative source.

Connect radius, diameter, circumference, and area

For a circle of radius 7 cm, the diameter is 14 cm, circumference is 2π × 7 ≈ 43.98 cm, and area is π × 7² ≈ 153.94 cm².

Common error: using a diameter of 14 as the radius makes the reported area four times too large. Circumference is a length; area uses square units. These calculations assume a true circle.

Frequently asked questions

What does the Circle Calculator calculate?

Calculate circumference and area from a circle radius.

How does the calculation work?

Circumference = 2πr. Area = πr².

Is this calculator free?

Yes. ERICH Calculators is free to use and no account is required.

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Method, assumptions & corrections

See how formulas, sources and limitations are handled across ERICH Calculators.