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* \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= (\pi)/(3)`

Thus, the length of the arc=
`6* (\pi)/(3)` =
`6*(22)/(21)` = 6.28571429 ≈6.3 ft