Question

in the diagram below, θ is measured in radians. which equation represents the relationship between the radius, r, and arc length, s? s = θ r r = θ s s = θ r r = θ s

Explanation:

Step1: Recall arc - length formula

The formula for the length of an arc \(s\) of a circle with radius \(r\) and central - angle \(\theta\) (measured in radians) is based on the definition of radian measure. One radian is defined as the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.
The general formula for arc - length is \(s = r\theta\) when \(\theta\) is in radians.

Answer:

\(s=\theta r\)