Circular segment
Here you can find the set of calculators related to circular segment: segment area calculator, arc length calculator, chord length calculator, height and perimeter of circular segment by radius and angle calculator.
This page exists due to the efforts of the following people:
Anton
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 | Timur
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Circular segment - is an area of a "cut off" circle from the rest of the circle by a secant (chord).
On the picture:
L - arc length
h - height
c - chord
R - radius
a - angle
If you know the radius and the angle, you may use the following formulas to calculate the remaining segment values:
Circular segment formulas
Segment area:
[1]
Arc length:
Chord length:
Segment height:
Circular segment
If you don't know the radius and the angle, you can calculate the segment parameters by the chord length and the segment height:
Segment defined by chord and height
The formula for the segment radius by the chord and the height:
Then, you can calculate the segment angle using the following formula:
You may also use the following calculator to obtain the segment area by its radius and height:
Area of circle segment by radius and height
This calculator evaluates the angle by the following formula:
then it uses formula [1] to calculate the segment area.
15 circular segment calculations in one program
Finally, the circular segment calculator below includes all possible calculations regarding circular segment parameters:
- angle
- arc length
- area
- chord length
- height
- radius
Enter two segment parameters, and the calculator will find all the rest.
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