Translation guide
This English phrase has two main uses: physical proximity (something is close enough to grab) and attainability (a goal or object is achievable). Japanese expresses these ideas with different words and patterns.
The goal is within reach.
Something is close enough to be touched or grabbed.
Literally 'hand reaches'. This is the most natural way to say something is within arm's reach.
That book is within reach.
More explicit: 'within the range where the hand reaches'. Slightly more formal or descriptive.
Please keep the remote within reach.
Means 'near at hand' or 'handy'. Often used for objects kept conveniently close.
I fixed it with tools that were within reach.
A goal, dream, or desired object is achievable or obtainable.
The same phrase as physical reach, but used metaphorically. Very common for goals becoming attainable.
I'll work hard until my dream is within reach.
Literally 'within firing range'. Used for goals or targets that are now achievable. Slightly formal or business-like.
Can be used metaphorically for attainability, but less common than 手が届く for abstract goals.
That price is within reach.
Means 'obtainable' or 'available'. Used for objects or information, not goals.
Something is cheap enough to buy.
手が届く is a verb phrase meaning 'to be within reach' and is more common in everyday speech. 手の届く範囲 is a noun phrase meaning 'the range within reach' and is slightly more descriptive or formal.
Can you reach it?
Put it within reach.
Do not translate 'within one's reach' word-for-word as 届く範囲内に (todoku han'inai ni) or similar. Use the natural phrases above.
(unnatural literal translation)
Keep the medicine within reach of children.
Uses negative form 届かない (out of reach) to express the opposite concept.
With this promotion, a manager position is finally within reach.
The championship has come within reach.
This medicine is within reach (obtainable).
手頃な価格のホテルを探しています。
I'm looking for a hotel within my reach (affordable).