To calculate the arc length (s) of a circle, we can use the formula:
- s = r × θ
Where:
- s = arc length
- r = radius of the circle
- θ = central angle in radians
In this case, you have:
- r = 6 cm
- θ = 8π/5 radians
Now, we can plug the values into the formula:
s = 6 cm × (8π/5)
Calculating this gives:
s = (48π/5) cm
If we want a numerical value, we can approximate π as 3.14:
s = (48 × 3.14) / 5
Which equals approximately:
s ≈ 30.16 cm
So, the arc length when the angle is 8π/5 radians and the radius is 6 cm is approximately 30.16 cm.