knackig
crisp
Describes foods that are fresh, firm, and make a sound when you bite into them.
Der Apfel war saftig und knackig.
The apple was juicy and crisp.

crisp / toned / concise
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crisp
Describes foods that are fresh, firm, and make a sound when you bite into them.
Der Apfel war saftig und knackig.
The apple was juicy and crisp.

The word is derived from the sound 'knack' (crack/snap). The basic idea is something firm, fresh, or punchy. This idea connects many of the meanings: an apple that cracks when you bite into it, a short and pointed statement, or a 'hard' task.
Ich mag Äpfel, die beim Reinbeißen richtig knacken.
I like apples that really crack when you bite into them.
Most often, 'knackig' (crisp) describes fresh foods. Typical combinations are 'knackiger Salat' (crisp salad/lettuce), 'knackiges Gemüse' (crisp vegetables), or 'knackige Äpfel' (crisp apples).
Zum Grillen gibt es Würstchen und einen knackigen Salat.
For the barbecue, there will be sausages and a crisp salad.
When 'knackig' (toned) describes a body or body parts, it is very colloquial. It is used as a compliment for a firm, athletic appearance.
Sie macht viel Sport für einen knackigen Bauch.
She does a lot of sports to get toned abs.
In connection with language, 'knackig' (concise) means short and to the point. A very common phrase is 'kurz und knackig' (short and sweet).
Bitte fasse deine Idee kurz und knackig zusammen.
Please summarize your idea briefly and concisely.
To describe cold, 'knackig' is used for dry, strong frost. For example, people say 'knackige Kälte' (biting cold) or that it is 'knackig kalt' (bitterly cold).
Zieh dich warm an, draußen ist es knackig kalt.
Dress warmly; it's bitterly cold outside.
A difficult task is often colloquially called a 'knackige Nuss' (a tough nut to crack). The adjective alone can also be used to describe a demanding problem.
Die letzte Matheaufgabe war eine wirklich knackige Nuss.
The last math problem was a really tough nut to crack.
scarce / just under / close
'knapp' and 'knackig' can both describe a short formulation. 'knapp' means that something is brief and contains only the essentials. This can be neutral, but sometimes it can also seem like too little. 'knackig' is more colloquial and usually sounds positive: a formulation is short, clear, and feels strong or lively. Learners may confuse the words because they look similar and can both mean 'short' when talking about texts. For factual brevity, 'knapp' fits; for a short and effective formulation, 'knackig' fits.

Für die Werbung sucht das Team einen knackigen Satz, den man sofort versteht.
For the advertisement, the team is looking for a concise sentence that people understand immediately.
Frau Richter hat die Regeln knapp erklärt, damit wir schnell anfangen konnten.
Ms. Richter explained the rules briefly so that we could get started quickly.