What is the arc length if θ = 6 pi over 5 and the radius is 2 cm?

Solution:

Consider θ as the central angle in a circle of radius r. s is the arc length of the cut off by θ. So the radian measure θ is written as

θ = s/r

It is given that

θ = 6 pi over 5

θ = 6π/5

We can write it as

6π/5 = s/2

By further calculation

s = 6π/5 × 2

s = 12π/5 cm

s = 7.54 cm

Therefore, the arc length is 7.54 cm.

What is the arc length if θ = 6 pi over 5 and the radius is 2 cm?

Summary:

The arc length, if θ = 6 pi over 5 and the radius is 2 cm is 7.54 cm.