Circle Area Calculator

Calculate the surface area, boundary circumference, diameter, or radius of any circle. Input any parameter to solve for all others instantly.

Circle Calculator
Fill in one property and choose units to calculate the rest.
Line segment from center to edge
cm
Straight line width through center
cm
Total perimeter length around edge
cm
Total two-dimensional flat space inside
cm²
Interactive VisualizationHover or tap dimensions to highlight
r: 10 cmd: 20 cmC: 62.83 cmA: 314.16 cm²
Result: Radius of 10 cm results in an Area of 314.159265 cm²
Circle Area Formulas & Calculations
How area is mathematically derived from other circular dimensions.

A circle represents all points in a two-dimensional plane that are at a fixed distance (the radius) from a central point. The constant ratio of any circle's circumference to its diameter is represented by the Greek letter π (Pi), approximately equal to 3.14159.

1. Area from Radius
A = π × r²

Multiply the radius by itself, then multiply by Pi. This is the standard definition equation.

2. Area from Diameter
A = (π × d²) / 4

Square the diameter, multiply by Pi, then divide by 4. Useful because diameter is easier to measure directly.

3. Area from Circumference
A = C² / (4 × π)

Square the outer boundary circumference, then divide by 4 times Pi.

Real-World Circle Benchmarks
Compare the dimensions and surface area values of familiar circular items.

US Quarter Coin

Diameter: 0.95 in (2.43 cm)

Area ≈ 0.72 in² (4.62 cm²)

Standard Compact Disc (CD)

Diameter: 4.72 in (12.0 cm)

Area ≈ 17.5 in² (113.1 cm²)

NBA Basketball Hoop

Diameter: 18.0 in (45.7 cm)

Area ≈ 254.5 in² (1,641.7 cm²)

Large Pizza (14-inch)

Diameter: 14.0 in (35.6 cm)

Area ≈ 153.9 in² (993.1 cm²)

💡 Did you know? Because the area is proportional to the square of the radius, a 14-inch large pizza actually has nearly double (1.96x) the surface area of a 10-inch small pizza!
Quick Radius Presets
Choose common radii values in the selected unit to pre-fill the calculator.
Radius to Circle Area Reference Table
Reference mapping of integers to resulting diameters, circumferences, and areas.
Radius (cm)Diameter (cm)Circumference (cm)Area (cm²)
126.2833.142
2412.56612.566
51031.41678.540
102062.832314.159
153094.248706.858
2040125.6641256.637
50100314.1597853.982
100200628.31931415.927
Frequently Asked Questions