Question
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)
Responses
a chord
a chord
the area
the area
the circumference
the circumference
the diameter
Responses
a chord
a chord
the area
the area
the circumference
the circumference
the diameter
Answers
GPT-4o mini
The arc length should first be compared to **the circumference**.
This is because the circumference of a circle is directly related to the radius, and by comparing the arc length to the circumference, which is a full circle, you can establish the proportional relationship between the arc length and the radius intercepted by the angle.
This is because the circumference of a circle is directly related to the radius, and by comparing the arc length to the circumference, which is a full circle, you can establish the proportional relationship between the arc length and the radius intercepted by the angle.
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