Question

Consider the following measures shown in the diagram with the circle centered at point A. Determine the arc length of CB.

Answer 1

`(4)/(3)\pi\; cm`

Step-by-step explanation:

If an arc of a circle radius, r is subtended by a central angle, θ, then:

`\text{Arc Length}=(\theta)/(360\degree)*2\pi r`

In Circle A:

• The central angle, θ = 40 degrees

,

• Radius = 6cm

Therefore, the length of arc CB:

`\begin{gathered} =(40)/(360)*2*6*\pi \\ =(4)/(3)\pi\; cm \end{gathered}`

The correct choice is C.