Free · Circle calculators ⭕
Circle Radius, Diameter, Circumference and Area
Enter a positive radius, diameter, circumference or area. The other values describe the same circle. Area-to-radius solving uses the positive square root, and length and area use different unit dimensions.
- Formula & worked example
- Private in your browser
- No signup
Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
Example in initial displayed units: Radius (r) 3 gives Diameter (d) 6, Circumference (c) 18.84956, Area (A) 28.27433.
d = 2r; C = 2πr; A = πr²
Worked example
Enter these known values and leave the other values blank.
- Radius (r)
- 3 cm
- Diameter (d)
- 6 cm
- Circumference (c)
- 18.8496 cm
- Area (A)
- 28.2743 cm²
Assumptions and limitations
- All measures describe one circle. Length and area selectors convert their respective dimensions. Radius and area inverses use positive roots, and this workflow requires strictly positive measures.
- Use compatible units and enough independent values. Clear unknowns before solving backward. Original reference drawings are schematic and do not scale to entered values.
Common questions
Which circle measurement can I enter first?
Enter a positive radius, diameter, circumference or area. The other values describe the same circle. Area-to-radius solving uses the positive square root, and length and area use different unit dimensions.
References
- Wolfram MathWorld: circle geometry
- NIST: unit conversion factors
- Calculation definition and unit reference
The international acre is exactly 43560 square international feet; Bookify replaces the rounded captured area factor.
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