The number of radians in a 720-degree angle can be written as aπ, where a is a constant. What is the value of a?
Correct answer: B. 4
- A. 3
- B. 4
- C. 5
- D. 6
Explanation
The correct answer is 4. To convert degrees to radians, use the formula: Radians = Degrees × (π/180). For a 720-degree angle, the calculation is: 720 × (π/180) = 4π. Thus, the value of a is 4. Option A (3) represents 540 degrees, Option C (5) represents 900 degrees, and Option D (6) represents 1080 degrees.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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