# 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:

Save the calculation to reuse next time, toextensionembed in your website orshareshare with friends.

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

Save the calculation to reuse next time, toextensionembed in your website orshareshare with friends.

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:

Save the calculation to reuse next time, toextensionembed in your website orshareshare with friends.

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.

extensionembed in your website orshareshare with friends.

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