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Circle Chord Length by Apothem and Sagitta

A circle chord is a line segment whose endpoints lie on the circle. The sagitta is the distance from the center of the arc bridged by the chord to the center of the chord. The apothem is the distance from the center of the chord to the center of the circle.

Chord length equals twice the square root of the sum of the sagitta squared and twice the sagitta times the apothem.

Formula

QuantityVariable["a", "Length"] == 2*Sqrt[QuantityVariable["h", "Length"]^2 + 2*QuantityVariable["h", "Length"]*QuantityVariable["r", "Length"]]

symbol description physical quantity
a chord length "Length"
h sagitta "Length"
r apothem "Length"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Circle Chord Length by Apothem and Sagitta"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Circle Chord Length by Apothem and Sagitta"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Circle Chord Length by Apothem and Sagitta"], {QuantityVariable[ "r","Length"] -> 0.8`}]
Out[3]=

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