Question

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

Answer 1

Answer:

$\frac{4}{3}\pi\; cm$

Explanation:

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

$\text{Arc Length}=\frac{\theta}{360\degree}\times2\pi r$

In Circle A:

• The central angle, θ = 40 degrees

,

• Radius = 6cm

Therefore, the length of arc CB:

$\begin{gathered} =\frac{40}{360}\times2\times6\times\pi \\ =\frac{4}{3}\pi\; cm \end{gathered}$

The correct choice is C.