Angles and money as dimensions; your own units

Angles as a dimension

By default, an angle is a plain number in radians. For sheets where it matters (a rotational stiffness is not a moment), turn on Format → Units → Angles as a dimension, or write at the top of the file:

---
angle: dimension
---

Then rad is a unit like the metre, and angles are checked:

θ := 30 deg
θ = ? deg
asin(0.5) = ? deg
k_r := 20 kN*m/(0.01 rad) = ? MN*m/rad
x := 2 m + θ — As text
θ := 30 deg θ = ? deg asin(0.5) = ? deg k_r := 20 kN*m/(0.01 rad) = ? MN*m/rad x := 2 m + θ
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sin, cos and tan take an angle (or a plain number, read as radians); asin, acos, atan and atan2 give one.
An angle result is shown in degrees unless you ask for another unit; angle_display: rad shows radians instead.
Formulas where the radian quietly disappears need it written. An arc length is r*θ/rad, and an angular frequency 2*π*f*rad:

r := 2 m
s := r*θ/rad = ?
f := 50 Hz
ω := 2*π*f*rad = ? rad/s — As text
r := 2 m s := r*θ/rad = ? f := 50 Hz ω := 2*π*f*rad = ? rad/s
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Money as a dimension

Name your currency, with Format → Units → Currency…, or at the top of the file:

---
currency: AUD
---

That name becomes a unit, and money is checked like anything else:

cost := 120 AUD/m^3
V := 4 m^3
cost*V = ?
USD := 1.52 AUD
p := 100 USD = ?
y := 3 AUD + 2 m — As text
cost := 120 AUD/m^3 V := 4 m^3 cost*V = ? USD := 1.52 AUD p := 100 USD = ? y := 3 AUD + 2 m
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Other currencies are definitions with your own rate; Beermat fetches no exchange rates. Money never takes prefixes (no “kAUD”).

Your own units

A unit is a value with a name, so a unit of your own is a definition:

bag := 25 kg
cement := 12 bag = ? — As text
bag := 25 kg cement := 12 bag = ?
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It can be used below where it is defined, like any variable, and in a result’s placeholder (= ? bag).