a circle has a radius of 13ft what is the length of an arc of that circle that is captured by a central angle that measures 112 degrees
To find the length of the arc, you can use the formula:
arc length = (θ/360) x 2πr
Where:
- θ is the central angle in degrees
- r is the radius of the circle
In this case, the central angle is 112 degrees and the radius is 13ft. Plug these values into the formula:
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 = 25.41 feet
Therefore, the length of the arc captured by a central angle of 112 degrees on a circle with a radius of 13ft is approximately 25.41 feet.