Question

What is the arc length if θ = 2 pi over 7 and the radius is 3 cm?

Answer 1

Length of the arc will be 2.69 cm.

Explanation:

We have to calculate the length of an arc if θ =
`(2\pi )/(7)` and radius of arc is 3 cm.

As we know length of an arc = r × θ

By putting the values of angle θ and radius of arc r in the formula

m (arc) =
`(2\pi )/(7)` × 3

=
`(6\pi )/(7)`

=
`(6(3.14))/(7)`

= 2.69 cm

Therefore, length of the arc will be 2.69 cm.

Answer 2

arc length = θ/2pi * 2pi * r = θ * r = 2pi/7 * 3 = 6pi/7 = 2.69 cm