Asked by d
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 chordthe circumferencethe diameterthe area
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GPT-5 mini
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the circumference
Because an arc is a fraction of the circle's circumference (fraction = central angle / 2π), and circumference = 2πr, so arc length s = (θ/2π)·(2πr) = θr — hence proportional to r.
Because an arc is a fraction of the circle's circumference (fraction = central angle / 2π), and circumference = 2πr, so arc length s = (θ/2π)·(2πr) = θr — hence proportional to r.
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