Question

How long is the arc intersected by a central angle of pi/3 radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3.14 for pi

1.0 ft
5.7 ft
6.3 ft
7.0 ft

Answer 1

c;6.3 just took the test on edge.

Explanation:

Answer 2

6.3 ft

Explanation:

We are given,

the central angle of the arc =
`\frac{\pi} {3} }` radians; and

radius of the arc = 6ft

Therefore using these values, we can find the length of the long arc.

Length of the arc = 6 ×
`\pi` / 3

Lenth of the arc =
`2\pi` = 2 × 3.14 = 6.28

Therefore, the length of the arc, rounded to the nearest tenth is 6.3 ft.