What is the arc length when theta=2 pi/5 and the radius is 6 cm

The length of the arc is 7.536cm

Step-by-step explanation:

To solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 6cm

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 6cm

c = 37.68cm

The length of the circumference is 37.68cm

Now we calculate the fraction that corresponds to this arc with the rest of the circumference

(2 pi / 5) / (2pi) = 1/5

now we multiply the circumference by the fraction

37.68cm * 1/5 = 7.536cm

The length of the arc is 7.536cm