Answer:
12.82 feet
Explanation:
To find the length of a 46-degree arc of a circle with a radius of 10 feet, you can use the formula for finding the length of a circular arc:
Arc Length = (θ/360) * 2πr
Where:
θ is the central angle in degrees.
r is the radius of the circle.
In this case, θ = 46 degrees and r = 10 feet. Plug these values into the formula:
Arc Length = (46/360) * 2π * 10
Arc Length = (23/180) * π * 10
Arc Length ≈ 12.82 feet
So, the length of a 46-degree arc of a circle with a radius of 10 feet is approximately 12.82 feet.