Acircle has a radius that is 4 centimeters long. if a central angle has a measure of 3 radians, what is the length of the arc that corresponds to the angle

The total length of the circle is calculated by the following formula:

Lenght = 2.π.r

As r = 4c

Then,

Lenght = 2.π.4

Lenght = 8π centimetrs

Now use the rule of 3

But we have to know:

...<..> ...

Then,

8π 2π <= 360°

x 3π

2π . x = 8π . 3π

x = (8π . 3π) / 2π

x = (8 . 3π)/ 2

x = 12π centimenters

x ~ 37,69 c

Hope i can you!