Circle Sector Calculator
Arc length, sector area, chord and perimeter of a slice of a circle.
Results
Sector area
2.09440
m²
Arc length
2.09440
m
Chord
2.00000
m
Perimeter
6.09440
m
What this tool does
A sector is the shape of a slice of pie, a fan-shaped patio or a curved piece of sheet metal. The chord is the straight line between the two ends of the arc, which is the measurement you can actually take with a rule.
Formula
arc = r × θ , area = ½ × r² × θ (θ in radians)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
r | Radius | m |
t | Angle | ° |
A | Sector area | m² |
L | Arc length | m |
C | Chord | m |
P | Perimeter | m |
Worked example
- Radius2 m
- Angle60 °
- Sector area2.09440 m²
- Arc length2.09440 m
- Chord2.00000 m
- Perimeter6.09440 m
Limitations
- Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.