Step 1: Evaluating Assertion (A).
Agar is a gelatinous substance obtained from red algae, mainly Gelidium and Gracilaria. It is widely used in microbiological culture media and food industry applications. Hence, Assertion (A) is correct.
Step 2: Evaluating Reason (R).
Agar is indeed used as a solidifying agent for microbial culture media and also in food products like jellies and ice creams due to its gelling properties. Hence, Reason (R) is also correct.
Step 3: Checking the relationship.
Although both statements are correct, Reason (R) describes the uses of agar and does not explain its extraction source mentioned in Assertion (A). Therefore, it is not the correct explanation.
Step 4: Logical analysis.
The source of agar (red algae) is independent of its applications. Thus, extraction and usage are two separate concepts.
Step 5: Final conclusion.
Both A and R are correct statements, but R does not explain A.
Final Answer:
\[
\boxed{\text{Both A and R are correct but R is not the correct explanation of A}}
\]