Work out a circle’s area, circumference and more from its radius. Enter one measurement and get the rest instantly.
Circle Calculator
Solve radius, diameter, circumference, and area of any circle from a single known measurement — with both decimal approximations and exact multiples of π.
Circle measurement
Pick which property you know and enter its value.
Your result will appear here
Enter your values above, then press Calculate Circle — or press Enter in any field.TinyExe · Circle Result
Radius, diameter, circumference & area
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Name
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Radius (r)
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Diameter (d)
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Circumference
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How this was calculated
What to do next
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Calculations use full IEEE 754 double-precision π (3.141592653589793) before rounding for display.
Circle relationships from any known value
Knowing any one property of a circle uniquely determines the other three.
| Given | Radius (r) | Circumference (C) | Area (A) |
|---|---|---|---|
| Radius (r) | r | 2πr | |
| Diameter (d) | d ÷ 2 | πd | |
| Circumference (C) | C ÷ (2π) | C | |
| Area (A) | √(A ÷ π) | 2√(πA) |
The formula
The two fundamental circle formulas in plane geometry.
Area of a Circle
Square the radius and multiply by π (≈ 3.14159265). Area is always expressed in square units (cm², m², in²).
Circumference of a Circle
The perimeter distance around the circle is π times the diameter (or 2π times the radius).
Worked examples
Three circle calculations showing both exact π and decimal answers.
Example 1 · From Radius
Radius r = 10 cm
Finding diameter, circumference, and area.
| Calculation | Steps |
|---|---|
| C = 2π(10) = 20π | Circumference ≈ 62.832 cm. |
| A = π(10²) = 100π | Area ≈ 314.159 cm². |
A = 314.16 cm²
Example 2 · From Diameter
Diameter d = 14 in
Finding area of a 14-inch circle.
| Calculation | Steps |
|---|---|
| r = 14 ÷ 2 = 7 in | Half of diameter gives radius. |
| A = π(7²) = 49π | Area ≈ 153.938 in². |
A = 153.94 in²
Example 3 · From Area
Area A = 78.54 m²
Working backward to find radius and circumference.
| Calculation | Steps |
|---|---|
| r = √(78.54 ÷ π) ≈ 5 m | Divide area by π and take square root. |
| C = 2π(5) ≈ 31.42 m | Perimeter of the circular plot. |
r = 5.00 m
How to use this calculator
Select the measurement you know
Choose Radius, Diameter, Circumference, or Area.
Enter the number and unit
Type your positive measurement and pick cm, m, mm, in, or ft.
Press Calculate Circle
Read all four circle properties in decimal and exact π notation.
Frequently asked questions
How do you find the area of a circle from its diameter?
Divide the diameter by 2 to get the radius, square that radius, and multiply by π (or compute π × d² ÷ 4 directly).
How do you find the radius from the circumference?
Divide the circumference by 2π (approximately 6.283185).
