Question

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

Answer 1

I think c or d is one of the answers

Answer 2

Answer: c. 6.3 ft

Explanation:

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

Here, radius of the circle = 6 ft.  

And,$\theta= \frac{\pi}{3}$

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