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# 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 "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 radius and angle, you may use the following formulas to calculate the remaining segment parameters:

#### Circular segment formulas

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

But if you don't know radius and angle, you still can calculate the segment parameters by chord length and segment height: #### Segment defined by chord and height

Digits after the decimal point: 2

Area

Arc length

Angle (degrees)

Perimeter

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

Digits after the decimal point: 2
Area

Chord length

Perimeter

Arc length

Angle (degrees)

This calculator evaluates angle by the following formula:

then it uses formula  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
• area

Choose any two arguments, and the calculator will give 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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