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 t

Question

3 years ago

12

enth. Pls help
a. 1.0 ft
b. 5.7 ft
c. 6.3 ft
d. 7.0 ft

2 answers:

Sidana [21] · Answer 1 · 2022-02-28T15:35:51+03:00

8 0

I think c or d is one of the answers

lana [24] · Answer 2 · 2022-02-28T16:45:44+03:00

lana [24]3 years ago

6 0

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