## Online calculator for circle segment area, arc length(curve length), chord length calculation

Contents

In this article discussed about formulas with example for calculation of **circle segment area (portion of circle area or part of circle area)** , arc length and also chord length and also provided good online calculator.

### Data to be required for calculation:

- Dia of the Circle =
**D**(mtrs) - Perpendicular length from circle chord to circle edge =
**h**(mtrs)

### Formulas for circle portion or part circle area calculation :

- Total Circle Area =
**π r**^{2} - Radius of circle = r= D/2 = Dia / 2
**Angle of the sector**= θ =**2 cos**((^{-1}**r – h)**/**r**)**Chord length**of the circle segment = c =**2 SQRT[ h (2r – h ) ]****Arc Length of the circle segment**= l =**0.01745 x r x θ****Area of the segment**= As =**1/2**(**rl**–**c**(**r – h**))- Circle area except segment area A =
**π r**^{ 2 }– As

#### Example for better understanding

**Data:**

- Dia of the Circle =
**1.6**(mtrs) - Perpendicular length from circle chord to circle edge =
**0.76**(mtrs)

**Calculation**:

- Radius of circle = 1.6/2 =0.8 mtr
- Total Circle Area =
**3.141 x 0.8 x 0.8 = 2.0102 m**^{ 2 }

- r – h = 0.04
- (r-h) /r = 0.05
**cos**((^{-1}**r – h)**/**r**= 87.13**Angle of the sector**= θ =**2 cos**((^{-1}**r – h)**/**r**) = 174.27 deg.**Arc Length of the circle segment**= l =**0.01745 x r x θ**= 0.01745 x 0.8 x 174.27 = 2.432 mtr- h(2r – h) = 0.6384
**Chord length**of the circle segment = c =**2 SQRT[ h (2r – h ) ] = 1.597 mtr**

**c**(**r – h**) = 0.6392- rl = 1.94623
- Area of the circle segment = As =
**1/2**(**rl**–**c**(**r – h**)) = 0.9412 m^{ 2 } - Circle area except segment area A =
**π r**^{ 2 }– As = 1.069 m^{ 2 }

## Online calculator for circle segment area calculation

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## 2 thoughts on “Circle segment area , arc length, chord length Formulas with online calculation”

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