Question

N the first circle, if the central angle of the shaded sector is 60° and the radius is 8 units, what is the arc length of the shaded sector?

A. 2π units
B. 4π units
C. 8π units
D. 16π units

Answer 1

The arc length of the shaded sector is 8π units.

Step-by-step explanation:

The arc length of a sector is given by the formula:

L = (θ/360) * 2πr

where L is the arc length, θ is the central angle, and r is the radius.

In this case, the central angle is 60° and the radius is 8 units. Plugging these values into the formula, we get:

L = (60/360) * 2π * 8 = (1/6) * 16π = 8π units.

Therefore, the arc length of the shaded sector is 8π units, which corresponds to option C.