10
Answer: BSet 2: Circles (Advanced)
Explanation
PROBLEM
Recent studies show that a circle has radius 2 and an arc length of 1pi. What is the central angle in degrees?
A circle has radius 2 and an arc length of 1pi. What is the central angle in degrees?
A.
92
B.✓ Correct
90
C.
180
D.
88
Detailed Explanation
[Variation 1] Choice B is the best answer. Arc = (angle/360) times 2 times pi times r. 1pi = (angle/360) times 4pi. angle = 90 degrees
Why others are wrong:
A: 92 is incorrect because it does not satisfy the equation.
C: 180 is incorrect because it does not satisfy the equation.
D: 88 is incorrect because it does not satisfy the equation.
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