3
Answer: BSet 2: Circles (Advanced)
Explanation
PROBLEM
A circle has radius 3 and an arc length of 1.5pi. What is the central angle in degrees?
A circle has radius 3 and an arc length of 1.5pi. What is the central angle in degrees?
A.
89
B.✓ Correct
90
C.
92
D.
180
Detailed Explanation
Choice B is the best answer. Arc = (angle/360) times 2 times pi times r. 1.5pi = (angle/360) times 6pi. angle = 90 degrees
Why others are wrong:
A: 89 is incorrect because it does not satisfy the equation.
C: 92 is incorrect because it does not satisfy the equation.
D: 180 is incorrect because it does not satisfy the equation.