Are you feeling any better? I heard you caught a cold.
I heard that you were ill. Are you OK now?
In this first sentence, you're starting off by asking the person how they are feeling. Asking this question first may give the impression that you are sincere and truly interested in their wellbeing after hearing that they have been sick with a cold. They can either respond with a 'yes' or 'no' answer. It is also possible that they can give a more elaborate answer, depending on your relationship with the person.
In the second sentence, you begin by stating a fact and then asking whether the person is feeling OK. This also shows interest in the person to whom you are speaking.
"I heard you were sick. Are you feeling better?"
You begin by saying you heard the person (your co-worker, friend, family member, etc.) was sick and then ask them how they are feeling.
"I heard you were sick. Are you feeling better?"（風邪をひいたって聞いたけど。大丈夫ですか）
まずは、相手（同僚、友達、家族など）が風邪をひいたと聞いたことを伝えます。それから、今の体調について尋ねます。
I heard that you had a cold. Are you feeling better now?
Have you recovered from the cold?
When you want to ask your teacher if they are feeling OK after having the cold; then you may ask in the following ways:
-I heard that you had a cold. Are you feeling better now?
-Have you recovered from the cold?
風邪を引いていた先生に「良くなりましたか」と声をかけたいなら、次のように言えます。
-I heard that you had a cold. Are you feeling better now?（風邪を引いていたと聞きました。もう体調は大丈夫ですか）
-Have you recovered from the cold?（風邪は良くなりましたか）
"To feel better" is the phrase we use to talk about someone's condition, whether it be emotional or physical. "Than" is the right word to use because it is a comparison between the two classes. I hope that this helps. :)
To your teacher, you heard that he/she had a cold. You want to ask if they are better now. You try one of the above suggested questions. probably an open quiestion will receive a more detailed response.
A cold is a virus that people get that makes you feel unwell and cough sneeze etc so if you have one you might feel very unwell
You can ask someone 'is your cold better now?' or 'are you feeling better now?' by adding after your cold you are telling them what you are talking about
A cold'（風邪）は、咳、くしゃみなどの症状が現れるウイルス性の疾患です。
'is your cold better now?'（風邪は良くなりましたか）または 'are you feeling better now?'（体調は良くなりましたか）と聞けます。
'after your cold' を加えて、より具体的に伝えています。
I heard you caught a cold. Are you OK now?
風邪をひいたと聞きました。もう大丈夫ですか？
Is your cold better now?
風邪はよくなりましたか？
上記のように英語で表現することができます。
catch a cold で「風邪をひく」となります。
ぜひ使ってみてください。
ドイツ 
南アフリカ 
アメリカ合衆国 
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