The arc length can be calculated using the formula:
Arc Length (L) = r × θ
Where:
- r is the radius of the circle.
- θ is the angle in radians.
In this case, the radius (r) is 4 cm and the angle (θ) is 2π/3 radians.
Now, let’s plug in the values:
L = 4 cm × (2π/3) = (8π/3) cm
So, the arc length is approximately:
L ≈ 8.38 cm (using π ≈ 3.14)
Therefore, the arc length when the angle is 2π/3 radians and the radius is 4 cm is about 8.38 cm.