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

Question

2 years ago

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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

Mathematics

1 answer:

gayaneshka [121] · Answer 1 · 2023-04-25T07:44:47+03:00

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

<h3>How to determine the arc length?</h3>

See attachment for the complete question

From the complete question, we have:

Θ represents the central angle
r represents the circle radius

The angle is given in radians.

So, the arc length is calculated using

Arc length = Angle * Radius

Substitute known values

s = Θ * r

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