A circle 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 t

Question

marin [14]

3 years ago

9

A circle 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 t

hat corresponds to the angle

Mathematics

2 answers:

kirill115 [55] · Answer 1 · 2022-08-07T18:04:26+03:00

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

gladu [14] · Answer 2 · 2022-08-07T20:10:34+03:00

gladu [14]3 years ago

3 0

Answer: 12 centimeters

Step-by-step explanation: