GMAT Quantitative Reasoning Practice Test 5

Question : 100 of 100

Marks: +1, -0

Given that C is the center of the circle and DB passes through C, what is the area of the sector of the circle?

(1) The diameter of the circle is 12.
(2)

{\m}

of the angle

{\C}=30^{∘}

Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
The problem can be solved using EITHER statement (1) only or statement (2) only.
The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Validate

Solution:

To find the area of the sector, use the formula

\;{x}/{360}=π r^2

where

x

is the angle measure of the central angle of the sector. The length of the diameter is necessary to find the length of the radius. Statement (1) and statement (2) together are sufficient.

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