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)