jherrera04
contestada

How long is the arc intersected by a central angle of pi/3 in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Pls help

a. 1.0 ft
b. 5.7 ft
c. 6.3 ft
d. 7.0 ft

Respuesta :

hasna3
I think c or d is one of the answers

Answer: c. 6.3 ft

Explanation:

Since, the length or an arc = [tex]r\times \theta[/tex] , where r is the radius of the circle, and [tex]\theta[/tex] is the central angle made by the arc.

Here, radius of the circle = 6 ft.  

And,[tex]\theta= \frac{\pi}{3}[/tex]

Thus, the length of the arc= [tex]6\times \frac{\pi}{3}[/tex] = [tex]6\times\frac{22}{21}[/tex] = 6.28571429 ≈6.3 ft

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