If the central angle of a circle measures 42 degrees and the radius is 14 inches long, then how long is the arc intercepted to the nearest inch?
To find the length of the arc intercepted by the central angle of 42 degrees, you can use the formula:
Arc Length = (θ/360) x 2πr
Where:
θ = central angle in degrees
r = radius of the circle
Plugging in the values:
Arc Length = (42/360) x 2π x 14
Arc Length = (0.1167) x 2π x 14
Arc Length ≈ 8.26 inches
Therefore, the length of the arc intercepted is approximately 8 inches.