Final answer:
To find the arc length, use the fraction of the central angle over 360 degrees and multiply by the circle's circumference, 2πr. The exact arc length cannot be calculated without knowing the circle's radius.
Step-by-step explanation:
To find the length of the arc given a central angle in degrees, we can use the formula of the arc length, which is a fraction of the circle's circumference.
The formula for the circumference of a circle (C) is 2πr, where r is the radius and π (pi) is approximately 3.14159.
The length of an arc (s) for a given angle (θ) in degrees is calculated by:
- θ° / 360° = Arc length (s) / Circumference of Circle (2πr)
Therefore, the arc length can be found by rearranging the formula:
- Arc length (s) = (θ° / 360°) • 2πr
Since the problem statement does not provide the radius, we can only provide the method to calculate the arc length.
To solve actual problems like this one, you would use the radius of the particular circle in question to compute the arc length rounded to the nearest hundredth as needed.