In a unit circle, the radian measure of the central angle is equal to the length of the ______
A. Intercepted arc
B. Radius
C. Diameter
D. Circumference

Respuesta :

Answer:

A. Intercepted arc.

Step-by-step explanation:

From Geometry we know that arc ([tex]s[/tex]), dimensionless, is measured by the following equation:

[tex]s = \theta \cdot r[/tex] (1)

Where:

[tex]\theta[/tex] - Central angle, measured in radians.

[tex]r[/tex] - Radius, dimensionless.

If the circle has a radius of 1. Then, we notice that arc is directly proportional to the central angle. Hence, the right answer is A.