Spike's Calculators

# Circular Segment - Metric

Calculate the area and perimeter of a circular segment.
This calculator uses metres for measurements.

Chord = a straight line connecting two points on the circumference of a circle.
Arc = the section of the circle's circumference from where the two points of a chord intersect the circle's circumference.

Circular Segment = the area between the chord and the arc.

Note:
`the segment height has to be smaller or equal to the the radius of the circle it is part off.`

### Circular Segment Area and Perimeter - Metric

Length of Chord m
Segment Height m
Decimal Precision

#### Results:

Angle °
###### Area of the Segment
Square Metres
Square Feet ft²
Square Inches in²
Metres m
Feet ft
Inches in
Metres m
Feet ft
Inches in

#### Calculation

1. the chord length in metres
2. the height of the segment in metres
3. decimal precision, the number of digits after the decimal point

#### Results

1. the length of the radius in decimal feet
2. the angle a in degrees
3. the area of the circular segment in square metres
4. the area in square feet
5. the area in square inches
6. the perimeter (circumference) of the circular segment in metres
7. the perimeter in feet
8. the perimeter in inches
9. the arc length in metres
10. the arc length in feet
11. the arc length in inches

##### Formula
```r = h/2+c²/(h*8)
a =  cos ((2r² - c²) / 2r² )
arc = a(π/180)r
A = r * arc / 2 - s * ( r - h ) / 2
P = arc+ c
h is the segment height
c is the chord length
a is the angle in degrees
arc is the length of the arc
π = 3.14159265358979
A is the area of the segment
P = the circumference of the segment

```

##### Conversions
```one metre (m) = 3.28083989501312 feet (ft)
one metre (m) = 39.3700787401575 inches (in)
one square metre (m²) = 10.7639104167097 square feet (ft²)
one square metre (m²) = 1550.0031000062 square inches (in²)
```