To find the length of an arc, we can use the formula:
Arc Length = (θ / 360) × 2πr
Where:
- θ is the central angle in degrees
- r is the radius of the circle
In this problem, we have:
- θ = 30°
- r = 12 cm
Now, we can plug these values into the formula:
Arc Length = (30 / 360) × 2π × 12
Simplifying this, we get:
- 30 / 360 = 1/12
- So, Arc Length = (1/12) × 2π × 12
- This simplifies to Arc Length = 2π
Therefore, the length of the arc is:
Arc Length = 2π cm
To get a numerical value, we can use the approximation π ≈ 3.14:
Arc Length ≈ 2 × 3.14 ≈ 6.28 cm
So, the length of the arc is approximately 6.28 cm.