Circle Calculator
Pick the measurement you know, enter it, and the calculator works out the other three.
Your numbers
How we calculate it
Everything is found from the radius r. The diameter is 2 × r, the circumference is 2 × π × r and the area is π × r². If you know another measurement first, the radius is diameter ÷ 2, circumference ÷ (2 × π) or √(area ÷ π).
For a radius of 5, the diameter is 10, the circumference is 31.42 and the area is 78.54.
Assumptions and limits
- Use any unit, as long as you read the answers in that unit. Area is in that unit squared.
- π is used at the full accuracy of a standard number, not as 3.14.
- The value must be above zero.
Frequently asked questions
How do I find the area of a circle from its diameter?
Halve the diameter to get the radius, then multiply π by the radius squared. A diameter of 10 gives a radius of 5 and an area of about 78.54.
What is the circumference of a circle?
It is the distance around the circle. It equals π times the diameter, or 2 times π times the radius.
How do I find the radius from the area?
Divide the area by π and take the square root. An area of 100 gives a radius of about 5.642.
Related calculators
- Area CalculatorChoose a shape, pick your unit and enter the measurements.
- Volume CalculatorChoose a shape, pick your unit and enter the measurements.
- Pythagorean Theorem CalculatorEnter any two sides of a right triangle and leave the third empty.
- Square Root CalculatorEnter a number and the root you want.
Worked example (a fixed example using the starting numbers, it does not change as you type)
Inputs: I know the = Radius; Value = 5.
- Area 78.5398
- Radius 5
- Diameter 10
- Circumference 31.4159
Embed this calculator
Add this calculator to your own page. Paste the code where you want it. The small link keeps credit to the source.
More math calculators
- Percentage Calculator
- Percent Change Calculator
- Percent of a Number Calculator
- Standard Deviation Calculator
- GCF and LCM Calculator
- Quadratic Formula Calculator
- Fraction Calculator
- Prime Factorization Calculator
- Factorial Calculator
- Exponent Calculator
- Square Root Calculator
- Percent Error Calculator
- Ratio Calculator
- Roman Numeral Converter
- Pythagorean Theorem Calculator
- Triangle Calculator
- Area Calculator
- Volume Calculator
- Slope, Distance and Midpoint Calculator
- Logarithm Calculator
- Number Sequence Calculator
- Factor Calculator
- Rounding Calculator
- Scientific Notation Calculator
- Long Division Calculator
- Basic Calculator
- Random Number Generator
- Half-Life Calculator
- Matrix Calculator
- Big Number Calculator
- P-Value Calculator
- Density Calculator
- Molarity Calculator
- Molecular Weight Calculator