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

Consider The Following Measures Shown In The Diagram With The Circle Centered At Point A Determine The Arc Length Of CB class=

Sagot :

Answer:

[tex]\frac{4}{3}\pi\; cm[/tex]

Explanation:

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

[tex]\text{Arc Length}=\frac{\theta}{360\degree}\times2\pi r[/tex]

In Circle A:

• The central angle, θ = 40 degrees

,

• Radius = 6cm

Therefore, the length of arc CB:

[tex]\begin{gathered} =\frac{40}{360}\times2\times6\times\pi \\ =\frac{4}{3}\pi\; cm \end{gathered}[/tex]

The correct choice is C.

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