Official Guide Explanation:
Data Sufficiency #99

Background

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Solution and Metadata

Question: 99
Page: 160
Difficulty: 5 (Moderate)
Category 1: Geometry > Circles > Multiple figures
Category 2: Word Problems > Geometry Problems >

Explanation: The distance from the center of the pool's base to point A is the radius of the base, so any characteristic of the circle--the radius, the circumference, or the diameter--will be enough information.

Statement (1) is sufficient: with the area of the base, you can find the radius, or the distance from the center to point A. Statement (2) is insufficient: the relationship between the distance from the center to C and the radius of the circle is not clear; you would need more information about the lengths of AC or AB, or the measure of angle C. Choice (A) is correct.

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