Question

What is the arc length when Θ = 2 pi over 3 and the radius is 8 cm?

Answer 1

`\phi=(2\pi)/(3)\\ r=8 \text{ cm}\\ l=r\cdot\phi\\\\ l=8\cdot(2\pi)/(3)\\ l=(16\pi)/(3)\text{ cm}`

Answer 2

Arc length = Arc length =
`(16\ pi)/(3)` = 16 .74 cm

Explanation:

Given : when Θ = 2 pi over 3 and the radius is 8 cm.

To find : What is the arc length .

Solution : WE have given that Θ =
`(2\ pi)/(3)`

Radius = 8 cm .

Arc length =radius * angle

Arc length = 8 *
`(2\ pi)/(3)`.

Arc length =
`(16\ pi)/(3)`.

Therefore, Arc length =
`(16\ pi)/(3)` = 16 .74 cm