Final answer:
The question is regarding the calculation of the arc length in a circle, given the radius and the angle of rotation. The formula for arc length is As = rθ, where 'r' is the radius and 'θ' is the angle in radians. Online calculators can assist in this calculation if the angle is in the correct unit.
Step-by-step explanation:
The student is asking about how to calculate the arc length of a function, which is a concept in Mathematics. To determine the arc length, one needs to understand the relationship between the radius of curvature, the angle of rotation, and the arc length itself.
In a circular path, the arc length (As) is the product of the radius (r) and the angle (θ) in radians. The formula for the arc length of a circle is As = rθ. This formula indicates that the arc length is directly proportional to the radius and the angle through which the radius has been rotated.
To calculate this using an online calculator, input the radius of the circular path and the angle of rotation (in radians or degrees, depending on the calculator's requirements). For instance, if a circle with a radius of 5 centimeters is rotated through an angle of 2 radians, the arc length would be As = 5 cm × 2 radians = 10 cm. It's important to use radians when using this formula, as degrees will not give the correct arc length unless converted.