Question

Imagine an angle with its vertex at the center of the Ferris wheel. Write an expression to represent the angle's measure (in radians) in terms of s.

a. 2ₛ
b. s/2
​c. s/π
​d. πs

Answer 1

The angle's measure in radians in terms of the arc length s traveled along a Ferris wheel, assuming a unit circle, is represented by the expression πs. Therefore, the correct answer is d.

Step-by-step explanation:

The question asks for an expression to represent the measure of an angle in radians in terms of the arc length s traveled along the circumference of a Ferris wheel. By definition, the angle θ in radians is the ratio of the arc length s to the radius r of the circle, that is θ = em>s/r.

If there's no given radius, and assuming a unit circle (where r = 1) for simplicity, the angle θ is directly equal to the arc length. Therefore, the correct expression from the given options would be d. πs, where π represents the mathematical constant pi (approximately 3.14159).