Final answer:
To find the length of the arc of a circle with a given central angle, we can use the formula: Length of Arc = (Angle Measure/360) x Circumference of Circle. In this case, the central angle is π/6 radians and the diameter of the circle is 14 meters. The length of the arc is approximately 1.533 meters.
Step-by-step explanation:
To find the length of the arc of a circle with a given central angle, we can use the formula:
Length of Arc = (Angle Measure/360) x Circumference of Circle
In this case, the central angle is π/6 radians and the diameter of the circle is 14 meters. The radius of the circle is half of the diameter, so it is 7 meters.
Now, we can substitute these values into the formula:
Length of Arc = (π/6 radians / 360) x (2π x 7 meters)
Length of Arc = (π/6 / 360) x (2π x 7)
Length of Arc = (π/6 x π x 7) / 360
Length of Arc ≈ 1.533 meters