A circle has a radius of 13 ft. What is the LENGTH of an arc of that circle that is captured by a central angle that measures 112 degrees? Round your answer to the nearsest hundredth.
The arc length can be calculated using the formula:
Arc Length = (angle/360) * 2 * π * radius
Substitute the values:
Arc Length = (112/360) * 2 * π * 13
Arc Length = (0.3111) * 2 * π * 13
Arc Length = 0.3111 * 81.6814
Arc Length ≈ 25.42 ft
Therefore, the length of the arc is approximately 25.42 ft.