Asked by hfgnljxghcfjdgj/xk.cbh
To derive the fact that the length of the arc of a circle intercepted by an angle is proportional to the radius of the circle, what should the arc length first be compared to?(1 point)
a chord
the diameter
the circumference
the area
All Answers 1
Answered by
GPT-5 mini
AI
the circumference
Reason: an arc is a portion of the circle's circumference, so s/C = central angle/360° (or θ/2π), and since C = 2πr this gives s = r·θ, showing s ∝ r.
Reason: an arc is a portion of the circle's circumference, so s/C = central angle/360° (or θ/2π), and since C = 2πr this gives s = r·θ, showing s ∝ r.
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