
ausstrahlen
to broadcast
To transmit a program on television or radio and make it publicly accessible.
Der Sender wird die Dokumentation heute Abend um 20:15 Uhr ausstrahlen.
The station will broadcast the documentary tonight at 8:15 p.m.
to broadcast / radiate
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to broadcast
To transmit a program on television or radio and make it publicly accessible.
Der Sender wird die Dokumentation heute Abend um 20:15 Uhr ausstrahlen.
The station will broadcast the documentary tonight at 8:15 p.m.

to radiate
To have a certain quality, mood, or effect on one's surroundings; to possess a certain aura.
Trotz der schwierigen Situation strahlte sie eine große Ruhe aus.
Despite the difficult situation, she radiated great calm.

to emit
To give off physical energy such as heat, light, or radiation.
Der alte Kachelofen strahlt eine sehr angenehme Wärme aus.
The old tiled stove emits a very pleasant warmth.
'Ausstrahlen' (to broadcast / radiate) is a separable verb. The prefix 'aus-' goes at the end in a main clause, while in subordinate clauses and infinitives it remains attached to the verb.
Dieser Film strahlt eine besondere Atmosphäre aus.
This film radiates a special atmosphere.
The verb consists of the prefix 'aus-' (outward) and the verb 'strahlen' (to shine, to radiate). This logic fits all meanings: a program is sent outward, a quality has an outward effect, and heat is given off outward.
Sie strahlt eine natürliche Autorität aus.
She radiates a natural authority.
The object of the verb reveals the meaning. If it is a program or a film, it means broadcasting. With a quality or a feeling, it is about the effect on others. With heat or light, it refers to physical emission.
Das Erste strahlt heute Abend einen Krimi aus.
Das Erste is broadcasting a crime film tonight.
When a person has an effect, abstract nouns are often used as the object. Typical examples are: 'Ruhe ausstrahlen' (to radiate calm), 'Sicherheit ausstrahlen' (to radiate confidence/security), 'Kompetenz ausstrahlen' (to radiate competence), or 'Lebensfreude ausstrahlen' (to radiate joy of life).
Ein guter Anführer sollte Ruhe und Sicherheit ausstrahlen.
A good leader should radiate calm and confidence.
to seem / take effect
Wirken describes how a person is perceived by others. Ausstrahlen more strongly suggests that a quality or mood emanates from the person and affects their surroundings. Wirken is suitable for the observer’s perception; ausstrahlen for this outward effect.

Trotz des großen Zeitdrucks strahlt Lea Ruhe aus.
Despite the intense time pressure, Lea radiates calm.
Trotz des großen Zeitdrucks wirkt Lea ruhig.
Despite the intense time pressure, Lea seems calm.