Question

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices: R is the center of the circle below: Figure NOT drawn to scale Quantity A: Half the circumference
Quantity B: The area of triangle QRS

• A. Quantity A is greater
• B. Quantity B is greater
• C. The two quantities are equal
• D. The relationship cannot be determined from the information given

Hint:

If quantities depend on unknown values with no further constraints or relationships, the correct choice is usually: cannot be determined.

Answer 1

The Correct Option is D

Step 1: Analyze the given.
We are not given the radius of the circle nor any dimensions or angles related to triangle QRS.
Step 2: Formula review.
- Half the circumference = \( \frac{1}{2} \cdot 2\pi r = \pi r \) - Area of triangle = \( \frac{1}{2}ab\sin C \), or other forms—but no sides or angles are given
Step 3: Conclusion.
Since we lack numerical or geometric data, we cannot compare the two quantities.