Circle Calculator

Enter any one value to calculate all circle properties

Enter Any One Value
All Properties
Radius
Diameter
Area
Circumference
Frequently Asked Questions
What is the formula for the area of a circle?
Area = π × r², where r is the radius. For a circle with radius 5: area = π × 25 ≈ 78.54 square units.
What is the formula for circumference?
Circumference = 2 × π × r = π × d. For diameter 10: circumference = 10π ≈ 31.42 units.
What is the difference between radius and diameter?
Radius is the distance from center to any point on the circle. Diameter is the distance across through the center. Diameter = 2 × radius.
What is pi (π)?
Pi ≈ 3.14159265... is the ratio of circumference to diameter. It's irrational — its decimals never end or repeat.
How do I find the radius from the area?
r = √(Area / π). For area = 50: r = √(50/π) ≈ 3.99.
How do I find the diameter from circumference?
d = C / π. For C = 31.42: d = 31.42/π ≈ 10.
What is a sector of a circle?
A sector is a pie-shaped region bounded by two radii and an arc. Area = (θ/360°) × π × r².
How accurate are the calculations?
Uses JavaScript's Math.PI (15+ significant digits). Results shown to 4 decimal places — sufficient for virtually all practical uses.