angeordnet
arranged
Placed or arranged in a particular order or according to a particular pattern.
Die Stühle im Saal waren in sauberen Reihen angeordnet.
The chairs in the hall were arranged in neat rows.

arranged / ordered
Loading your saved state.
arranged
Placed or arranged in a particular order or according to a particular pattern.
Die Stühle im Saal waren in sauberen Reihen angeordnet.
The chairs in the hall were arranged in neat rows.

'Angeordnet' (arranged/ordered) is the past participle of the separable verb 'anordnen' (to arrange/order). The structure 'an-ge-…-t' is typical for the participle form of separable verbs ending in '-nen'.
Der Chef hat Überstunden angeordnet.
The boss ordered overtime.
The meaning depends on the subject. If they are objects (chairs, books, pictures), it is about spatial arrangement. If they are actions or rules (bed rest, measures, an examination), it is about an order.
Die Bilder im Museum waren chronologisch angeordnet.
The pictures in the museum were arranged chronologically.
In the meaning 'arrangiert' (arranged), an adverb or prepositional phrase is often used to describe the type of arrangement. Typical patterns are 'in Reihen angeordnet' (arranged in rows), 'alphabetisch angeordnet' (arranged alphabetically), or 'kreisförmig angeordnet' (arranged in a circle).
Die Ordner im Regal sind alphabetisch angeordnet.
The folders on the shelf are arranged alphabetically.
In the meaning 'befohlen' (ordered), the source of the order is often named with 'von' or an adverb. It is very typically used before a noun, e.g. 'die vom Arzt angeordnete Diät' (the diet ordered by the doctor) or 'eine behördlich angeordnete Schließung' (an officially ordered closure).
Die polizeilich angeordnete Straßensperre führte zu einem Stau.
The road closure ordered by the police caused a traffic jam.
voluntary
'freiwillig' and 'angeordnet' are opposites when talking about an action or measure. 'freiwillig' means that someone decides for themselves. 'angeordnet' means that a person or authority has ordered something. In that case, it is no longer a free choice, but an instruction or obligation. What matters here is not the meaning of 'angeordnet' as 'arranged in an order', but the meaning 'ordered' or 'initiated'.

Wegen des Sturms wurde die Räumung des Parks angeordnet.
Because of the storm, the evacuation of the park was ordered.
Am Samstag arbeitet der Gast freiwillig beim Sommerfest mit.
On Saturday, the guest is helping out at the summer festival voluntarily.