radius
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radius
In geometry, the line segment from the center of a circle or sphere to a point on the circumference or surface of the sphere. The radius is half the diameter.
Um den Kreis zu zeichnen, stelle den Zirkel auf einen Radius von 5 cm ein.
To draw the circle, set the compass to a radius of 5 cm.
You can tell from the context whether the geometric or the spatial meaning is intended. In mathematics and technology, it is about circles; in everyday language, it is about a distance around a point.
Der Radius des Vorderrads beträgt 30 cm.
The radius of the front wheel is 30 cm.
In geometry, the length of the radius is typically given with the preposition 'von' (of) and a unit of measurement.
Zeichnen Sie einen Kreis mit einem Radius von 3 cm.
Draw a circle with a radius of 3 cm.
To describe an area around a point, the fixed expression 'im Radius von' (within a radius of) followed by a distance is used very frequently.
Das Geschäft liefert im Radius von 15 Kilometern kostenlos.
The shop delivers free of charge within a radius of 15 kilometers.
area / field
'der Bereich' and 'der Radius' can both describe an area. 'Bereich' is more general and only says that an area is defined. 'Radius' is more specific: it means an area around a particular point, often with a specific distance. That is why 'Radius' is especially suitable when saying how far something is from a center, for example around a school, a medical practice, or a shop. 'Bereich' is more natural when the shape or distance is not important.
Im Radius von zwei Kilometern gibt es drei Apotheken.
There are three pharmacies within a radius of two kilometers.
Wir reparieren morgen nur den beschädigten Bereich an der Wand.
Tomorrow we will repair only the damaged area on the wall.