Final answer:
The arc length of a circle is the same as its circumference, calculated by the formula C = 2πr. For a circle with a radius of 7, the arc length is 14π, approximately 43.96, which corresponds to option C on the list provided.
Step-by-step explanation:
The question asks about the arc length of a circle with a given radius. To find the arc length for a full revolution around the circle, which is the circumference, we use the formula C = 2πr. For a radius (r) of 7, the circumference (C) is:
C = 2πr = 2π(7) = 14π.
Assuming we are dealing with one full revolution around the circle, which covers a 360-degree angle, or Δθ = 2π, the arc length would then be equal to the circumference of the circle. Substituting the value of π, approximately 3.14159, we find:
C ≈ 14π ≈ 14(3.14159) ≈ 43.98,
which is closest to option C) 21.98. However, the correct approximation of 14π is 43.96, closest to option C) 43.96. Since there is a slight discrepancy in the provided options, we must note that the closest and most accurate answer choice given the radius would be option C) 43.96.