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

The length of the arc that corresponds to the angle is 12 cm.

Step-by-step explanation:

Given here that, the circle has a radius that is 3 centimeters long.

i.e

Also the central angle has a measure of 4 radians.

i.e

We know that,

Putting the values,

Therefore, the length of the arc that corresponds to the angle is 12 cm.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: