die Route
route
A fixed or planned way from a starting point to a destination.
Das Navigationsgerät berechnet die schnellste Route zum Flughafen.
The navigation device calculates the fastest route to the airport.

route
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route
A fixed or planned way from a starting point to a destination.
Das Navigationsgerät berechnet die schnellste Route zum Flughafen.
The navigation device calculates the fastest route to the airport.

The context makes clear which meaning is intended. Words like 'Auto' (car), 'Karte' (map), or 'Navigation' (navigation) point to a path or way. Terms like 'klettern' (to climb), 'Felswand' (rock face), or 'Schwierigkeitsgrad' (difficulty grade) point to a climbing route.
Wir folgen der auf der Karte markierten Route.
We follow the route marked on the map.
In connection with a path or journey, 'Route' (route) is often combined with verbs like 'planen' (to plan), 'berechnen' (to calculate), 'wählen' (to choose), or 'folgen' (to follow).
Lass uns eine schöne Route für unsere Fahrradtour planen.
Let's plan a nice route for our bike tour.
In climbing, a 'Route' (route) is often 'geklettert' (climbed), 'begangen' (ascended), or 'erschlossen' (established). People also talk about a 'leichte' (easy) or 'schwierige' (difficult) route.
Er ist diese schwere Route als Erster ohne Sicherung geklettert.
He was the first to climb this difficult route without protection.
direction
'die Richtung' and 'die Route' both have to do with a way or path. 'die Richtung' only says where someone or something is moving, for example to the left, northward, or toward the train station. 'die Route' is more specific: it means the planned or fixed way from a starting point to a destination, often with several roads or stops. The words can be confused because both occur in travel and navigation. As a simple guide: 'die Richtung' is the 'where to'; 'die Route' is the whole way to get there.

Für die Fahrradtour hat Lena eine ruhige Route am Fluss entlang gewählt.
For the bike tour, Lena chose a quiet route along the river.
Kannst du mir sagen, in welche Richtung die Altstadt liegt?
Can you tell me in which direction the old town is?