Sample

StudyMathGeometry
# Circular segment

##### Can calculate area, arc length,chord length, height and perimeter of circular segment by radius and angle.

On the picture:

If you know radius and angle you may use the following formulas to calculate remaining segment parameters:

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 formule [1] to calculate the segment area.

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