6
Answer: BSet 3: Circles (Advanced)
Explanation
PROBLEM
A circle has radius 4 and an arc length of 1.3333333333333333pi. What is the central angle in degrees?
A circle has radius 4 and an arc length of 1.3333333333333333pi. What is the central angle in degrees?
A.
62
B.✓ Correct
60
C.
61
D.
120
Detailed Explanation
Choice B is the best answer. Arc = (angle/360) times 2 times pi times r. 1.3333333333333333pi = (angle/360) times 8pi. angle = 60 degrees
Why others are wrong:
A: 62 is incorrect because it does not satisfy the equation.
C: 61 is incorrect because it does not satisfy the equation.
D: 120 is incorrect because it does not satisfy the equation.