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In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.

s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s


Sagot :

The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

How to determine the arc length?

The attached image completes the question

The given parameters are:

  • Angle = Θ
  • Radius = r

Since, the angle is in radians.

The arc length is calculated as:

Arc length = Angle * Radius

So, we have:

s = Θ * r

Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

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View image MrRoyal