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

Answer:

$B\text{ : }\frac{12\pi}{5}$

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:

$Arc\text{ length = }\frac{2\pi}{5}\times6\text{ = }\frac{12\pi}{5}$