Spike's Calculators
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)