To find the arc length (s) of a circle, you can use the formula:
s = rθ
where:
- s is the arc length
- r is the radius of the circle
- θ is the angle in radians
In this case, the radius (r) is 2 cm and the angle (θ) is 6π/5 radians. Plugging these values into the formula gives:
s = 2 * (6π/5)
Calculating this:
s = (12π/5) cm
This is the arc length. To get a numerical value, you can approximate π as 3.14:
s ≈ (12 * 3.14/5) ≈ 7.54 cm
So, the arc length for the given angle and radius is approximately 7.54 cm.