Circle Calculator

Calculate area, circumference, radius, and diameter of circles with step-by-step solutions

Circle Properties

Area
0
square units
Circumference
0
linear units
Diameter
0
linear units
Radius
0
linear units
Circle Visualization
r
Area Formula: A = πr²
Circumference: C = 2πr
Diameter: d = 2r

Circle Properties

Area
0
square units
Circumference
0
linear units
Diameter
0
linear units
Radius
0
linear units
Circle Visualization
d
Area Formula: A = π(d/2)²
Circumference: C = πd
Radius: r = d/2

Circle Properties

Area
0
square units
Circumference
0
linear units
Diameter
0
linear units
Radius
0
linear units
Circle Visualization
C
Radius Formula: r = C/(2π)
Area: A = C²/(4π)
Diameter: d = C/π

Circle Properties

Area
0
square units
Circumference
0
linear units
Diameter
0
linear units
Radius
0
linear units
Circle Visualization
A
Radius Formula: r = √(A/π)
Circumference: C = 2π√(A/π)
Diameter: d = 2√(A/π)

How to Use the Circle Calculator

Our comprehensive circle calculator offers four different calculation modes to find all circle properties from any known measurement:

🎯 From Radius Mode

Enter the radius to calculate area (A = πr²), circumference (C = 2πr), and diameter (d = 2r). Most common input when you know the distance from center to edge.

📏 From Diameter Mode

Input the diameter to find all other properties. Uses formulas: A = π(d/2)², C = πd, and r = d/2. Perfect when you can measure the full width of the circle.

🔄 From Circumference Mode

Enter the perimeter length to calculate radius (r = C/(2π)), area (A = C²/(4π)), and diameter (d = C/π). Useful when you can measure around the circle.

📐 From Area Mode

Input the area to find radius (r = √(A/π)), circumference (C = 2π√(A/π)), and diameter (d = 2√(A/π)). Great for space planning and surface calculations.

📊 Visual Features

• Interactive Circle Diagrams: See your circle with proper proportions
• Formula Display: All relevant formulas shown for educational value
• Real-time Results: Instant calculations as you input values
• Multiple Units: Works with any unit system (meters, inches, feet, etc.)

💡 Pro Tips

• All measurements should use the same units
• Results are precise to 4 decimal places
• Visual diagrams help understand relationships
• Switch between modes to verify calculations
• Perfect for geometry, engineering, and daily applications

Frequently Asked Questions

Radius is the distance from the center to any point on the circle's edge, while diameter is the distance across the entire circle through the center. Diameter is always exactly twice the radius (d = 2r).
Our calculator uses the mathematical constant π (pi) with high precision, providing results accurate to 4+ decimal places. This precision is suitable for most practical and academic applications.
Use any unit system (metric, imperial, etc.), but keep all measurements consistent. If you input radius in meters, all results will be in meters (linear) and square meters (area).
Choose the mode based on what you can easily measure: radius (center to edge), diameter (full width), circumference (around the perimeter), or area (surface space). All modes provide complete circle properties.
Circle calculations are used in construction (pipes, tanks), landscaping (garden beds), cooking (pizza, cake pans), engineering (wheels, gears), and many other fields requiring circular measurements or area planning.