ANSWER:
STEP BY STEP EXPLANATION:
By definition, the circumference of a circle is:

The area of a circle is:

Where,
r: radius of the circle.
When the radius is double, then the new area is:

Rewriting we have:

In terms of a we have:
Answer:
The new area of the circle in terms of a is:
Luis’ sample would be the most random, because not everyone in the cafeteria might check out books from the library, but since everyone Samantha surveyed was in the library already, most of the people she surveyed would be more consistent in their responses.