Arc Length & Sector Area Calculator
Find the arc length, sector area, chord and segment area of a circle from its radius and central angle.
Arc length
10.47197551
- Sector area
- 52.35987756
- Chord length
- 10
- Segment area
- 9.058607371
- Angle
- 60° = 1.047197551 rad
Show the work
Angle in radians
θ = degrees × π ÷ 180
60 × π ÷ 180 = 1.047197551 rad
Arc length = radius × angle in radians
s = r × θ
10 × 1.047197551 = 10.47197551
How it works
Arc = rθ; sector area = r²θ ÷ 2; chord = 2r sin(θ/2); segment area = r²(θ − sin θ) ÷ 2 (θ in radians)
Questions
- How does the arc length & sector area calculator work?
- Arc = rθ; sector area = r²θ ÷ 2; chord = 2r sin(θ/2); segment area = r²(θ − sin θ) ÷ 2 (θ in radians).
- What do I need to enter?
- Radius, Central angle, Angle in, Units. Optional fields can be left blank.
Related tools
- Trig Functions CalculatorFind sin, cos, tan, csc, sec and cot of an angle in degrees or radians — or the inverse functions of a value.
- Circle CalculatorKnow one of a circle's radius, diameter, circumference or area? Get all the others.
- Sphere CalculatorFind a sphere's volume, surface area, radius and diameter from any one of them.
- Cone CalculatorFind the volume, slant height and surface area of a right circular cone.
- Cylinder CalculatorFind the volume and surface area of a cylinder from its radius and height.
- Frustum CalculatorFind the volume and surface area of a conical frustum — a cone with its top cut off, like a bucket or lampshade.
Want this on your site? Embed the arc length & sector area calculator.