Circle Calculator
Circle is evaluated from Known Value, Value and Arc/Sector Angle. The calculation reports Radius, Diameter and Circumference.
Results
About the Circle Calculator
The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.
Formula basis:
C = 2pir | A = pir^2
Arc = (θ/360) x 2pir
Sector = (θ/360) x pir^2
Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.
Formula & How It Works
The calculation applies the following relations exactly as recorded in the metadata: C = 2pir | A = pir^2 Arc = (θ/360) x 2pir Sector = (θ/360) x pir^2 Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.
Worked Examples
Example 1: Olympic Running Track Inner Lane
Inputs
With Known Value = radius, Value = 36.5 and Arc/Sector Angle = 180 as the stated inputs, the result is Radius = 36.5 units, Diameter = 73 units and Circumference = 229.336264 units. Each value corresponds to the declared output fields.
Example 2: Pizza Slice Area
Inputs
With Known Value = diameter, Value = 16 and Arc/Sector Angle = 45 as the stated inputs, the result is Radius = 8 units, Diameter = 16 units and Circumference = 50.265482 units. Each value corresponds to the declared output fields.
Example 3: Circular Irrigation Coverage
Inputs
With Known Value = radius, Value = 200 and Arc/Sector Angle = 360 as the stated inputs, the result is Radius = 200 units, Diameter = 400 units and Circumference = 1,256.637061 units. Each value corresponds to the declared output fields.
Example 4: Gear Arc Length — Mechanical
Inputs
With Known Value = radius, Value = 6 and Arc/Sector Angle = 120 as the stated inputs, the result is Radius = 6 units, Diameter = 12 units and Circumference = 37.699112 units. Each value corresponds to the declared output fields.
Common Use Cases
- Find circumference of a circular track
- Calculate area of a circular room or pool
- Determine arc length of a circular path
- Find sector area of a pie chart segment