To find the length of the arc, we can use the formula:
Arc Length = (angle/360) x 2πr
Given:
- radius (r) = 13 ft
- central angle (angle) = 112 degrees
Plugging in the values:
Arc Length = (112/360) x 2π x 13
Arc Length = (0.3111) x 2π x 13
Arc Length = 0.3111 x 81.68
Arc Length ≈ 25.42 ft
Therefore, the length of the arc captured by a central angle of 112 degrees in a circle with a radius of 13 ft is approximately 25.42 ft.
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. Make sure to show all work, you may upload a picture of your work by using the button
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