# 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

#### Calculation

- the chord length in metres
- the height of the segment in metres
- decimal precision, the number of digits after the decimal point

#### Results

- the length of the radius in decimal feet
- the angle a in degrees
- the area of the circular segment in square metres
- the area in square feet
- the area in square inches
- the perimeter (circumference) of the circular segment in metres
- the perimeter in feet
- the perimeter in inches
- the arc length in metres
- the arc length in feet
- 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
where r is the radius
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)

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