Question

The diagram below shows circle with radii OA

and OB. The measure of angle AOB is 120°, and
the length of a radius is 6 inches.
Which expression represents the length of arc AB,
in inches?

Answer 1

Length of arc AB = 4π

Explanation:

Formula to get the arc length is given by,

Length of arc =
`(\theta)/(360)(2\pi r)`

Here, θ = central angle subtended by the arc AB

r = Radius of the circle

By substituting the values in the formula,

Therefore, length of arc AB =
`(120)/(360)(2\pi )(6)`

= 40π