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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

User Peteyuan
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1 Answer

6 votes

Final answer:

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).

User Pushkin
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