k0ambrleishray
contestada

A circle has a radius that is 3 centimeters long. If a central angle has a measure of 2 radians, what is the length of the arc that corresponds to the angle?

Respuesta :

Nirina7
hte measure of the Length is given by the formula
L= R x teta

so L= 3x2=6 radians.cm
calculista

Answer:

[tex]6\ cm[/tex]

Step-by-step explanation:

we know that

The formula to calculate the length of the arc is equal to

[tex]L=r\theta[/tex]

where

r is the radius

[tex]\theta[/tex] is the central angle in radians

In this problem we have

[tex]\theta=2\ radians[/tex]

[tex]r=3\ cm[/tex]

Substitute the values

[tex]L=3*2=6\ cm[/tex]