# 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.

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Created: 2011-05-14 19:39:53, Last updated: 2021-10-29 14:21:25 This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/1421/. Also, please do not modify any references to the original work (if any) contained in this content.

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
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:

Arc length:

Chord length:

Segment height: #### Circular segment

Angle in degrees
Digits after the decimal point: 2
Chord length

Height

Perimeter

Arc length

Area

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

Digits after the decimal point: 2

Area

Arc length

Angle (degrees)

Perimeter

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

Digits after the decimal point: 2
Area

Chord length

Perimeter

Arc length

Angle (degrees)

This calculator evaluates the angle by the following formula:

then it uses formula  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

Enter two segment parameters, and the calculator will find all the rest. #### Circular segment - complete solution

Digits after the decimal point: 2
Height

Chord length

Arc length

Angle (degrees)

Area

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#### Similar calculators

PLANETCALC, Circular segment