# 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:

But if you don't know radius and angle you still can caluclate the segment parameters by chord length and segment 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:

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.

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