# Area and Perimeter

# Circular Segment

Calculate the area and perimeter of a circular segment. This calculator uses feet and or inches 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

#### Calculation

- the chord length in feet and or inches
- the height of the segment in feet and or inches
- 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 decimal square feet
- area in square feet and inches
- the area in decimal square inches
- the area in square inches
- the area in square metres
- the perimeter (circumference) of the circular segment in decimal feet
- the perimeter in lineal feet and inches
- the perimeter in decimal inches
- the perimeter in inches
- the perimeter in metres
- the arc length in decimal feet
- the arc length in lineal feet and inches
- the arc length in decimal inches
- the arc length in inches
- the arc length in metres

##### 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 square foot ( ft²) = 144 square inches (in²)
one square inch (in²) = 0.00694444444444443 square feet (ft²)
one square foot ( ft²) = 0.09290304 square metres (m²)
square inch (in²) = 0.00064516 square metres (m²)

### Area and Perimeter of Various Shapes

### Changing the shape of an Area

### Acreage or Building Lot Calculators

### Stadium Calculators