Arc AB is One-third of the circumference of a circle. What is the radian measure of the central angle? StartFraction pi Over 3 EndFraction radians StartFraction 2 pi Over 3 EndFraction radians StartFraction 3 pi Over 2 EndFraction radians 3π radians

Respuesta :

Answer:

Answer B or 2pi/3

Step-by-step explanation:

Its answer B, manged to guess it right.

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Using proportions, it is found that the radian measure of the central angle is given by:

[tex]\frac{2\pi}{3}[/tex]

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, we consider that the measure one the entire circumference is of [tex]2\pi[/tex], hence one-third of it is given by:

[tex]C = \frac{1}{3} \times 2\pi = \frac{2\pi}{3}[/tex]

Hence, the radian measure of the central angle is given by:

[tex]\frac{2\pi}{3}[/tex]

More can be learned about proportions at https://brainly.com/question/24372153