Question

What is the arc length when Θ = 2 pi over 5 and the radius is 6 cm?Group of answer choices24 pi over 512 pi over 56 pi over 53 pi over 5

Answer 1

`B\text{ : }(12\pi)/(5)`

Step-by-step explanation:

Here, we want to calculate the arc length

Mathematically, we have that as:

`Length\text{ of arc = }\theta r`

where theta is the angle subtended by the arc at the center (where theta is in radians

Substituting the value for the angle, we have it that:

`Arc\text{ length = }(2\pi)/(5)*6\text{ = }(12\pi)/(5)`