Question

How long is the arc intercepted by two pi over 3 rad central angle in a circle with radius 7 feet

Answer 1

4.67 ft

Explanation:

An arc is simply a portion of the circumference of a circle.

To find the length of an arc, we simply need to apply the formula:

`L = (\alpha )/(360) * 2\pi r`

where α = angle subtended by the arc =
`(2\pi )/(3)` rads =
`(2\pi )/(3) * (180)/(\pi )` degrees = 38.2°

r = radius of the circle = 7 ft

Hence, the length of the arc is:

`L = (38.2)/(360) * 2*\pi *7`

`L = 4.67 ft`

The length of the arc is 4.67 ft