Answer:
Ф = 10°
Explanation:
Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.
We need to find the central angle, Ф, in this problem.
We know that C = circumference = 6, and that this leads to r = 6/π.
Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:
Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.
π 180°
Converting this into degrees, we multiply ------ by ----------
18 π rad
obtaining: Ф = 10°