Circle Calculator

Calculate circle radius, diameter, circumference, and area from any one measurement.

Radius

5.000000

Radius (r)5.000000
Diameter (d = 2r)10.000000
Circumference (C = 2πr)31.415927
Area (A = πr²)78.539816

How to Use the Circle Calculator

  1. Choose which measurement you know. Click Radius, Diameter, Circumference, or Area.
  2. Enter the value in the input field.
  3. Read all four properties instantly: radius, diameter, circumference, and area are all calculated and shown.

Units are not specified because the formulas work for any unit. If you enter radius in centimeters, circumference and area are in centimeters and square centimeters respectively.

Circle Formulas

Given radius r:
  Diameter      d = 2r
  Circumference C = 2πr  (π ≈ 3.14159265)
  Area          A = πr²

Solving for radius from other measurements:
  From diameter:       r = d / 2
  From circumference:  r = C / (2π)
  From area:           r = √(A / π)

Example with radius = 5:
  Diameter      = 2 × 5        = 10
  Circumference = 2 × π × 5  ≈ 31.4159
  Area          = π × 5²     ≈ 78.5398

Frequently Asked Questions

Area = πr², where r is the radius and π ≈ 3.14159. If the radius is 7 cm, area = π × 7² = π × 49 ≈ 153.94 cm². If you know the diameter instead of the radius, divide by 2 first: radius = diameter / 2.

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