Circular segment
Can calculate area, arc length,chord length, height and perimeter of circular segment by radius and angle.
Circular segment - is an area of a circle which is "cut off" 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 radius and angle you may use the following formulas to calculate remaining segment parameters:
Circular segment formulas
Area:
[1]
Arc length:
Chord length:
Segment height:
Circular segment
But if you don't know radius and angle you still can caluclate the segment parameters by chord length and segment height:
Segment defined by chord and height
Formula for segment radius by chord and height:
Then, you can caluclate segment angle using the following formula:
You may also use the following calculator to obtain segment area by its radius and height:
Area of circle segment by radius and height
This calculator evaluates angle by the following formula:
then it uses formula [1] to calculate the segment area.
15 circular segment calculations in one program
The calculator below includes all possible calculations regarding circular segment parameters:
- arc length
- angle, chord
- height
- radius
- area
Choose any two arguments and the calculator will give all the rest.
Circular segment - complete solution
PLANETCALC, Circular segment
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