Circle Chord Length by Angle and Radius

A circle chord is a line segment whose endpoints lie on the circle.

Chord length equals twice the radius times the sine of half the angle covered by the chord.

Formula

QuantityVariable["a", "Length"] == 2*QuantityVariable["R", "Radius"]*Sin[QuantityVariable["θ", "Angle"]/2]

Get the resource:

In[1]:=

Out[1]=

Get the formula:

In[2]:=

Out[2]=

Use some values:

In[3]:=

$FormulaData[ ResourceObject[ "Circle Chord Length by Angle and Radius"], {QuantityVariable[ "\[Theta]","Angle"] -> 1.287`}]$

Out[3]=