Question

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

Answer 1

assuming the angle is in radians.... you should say so.

r =6cm, diameter = 12 cm and circum = 12π
arc length = circum(angle/2π)
arc length = 12π(2π/5)(1/2π) = 12π/5 = 7.54

Hope I helped :)

Answer 2

Arc length = 7.53 cm

Explanation:

We have given that : Radius = 6 cm

and given Angle =
`\theta=(2\pi )/(5)`

We have to find: The Arc length(A)

Solution: The formula of arc length is given by,

Arc length(A) = radius × angle(in radian)

`A= 6*(2\pi )/(5)`

`A=(12\pi )/(5)`

A= 7.53 cm