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?(1 point)

in.

1 answer

The formula to calculate the length of an arc is given by:

Arc length = (central angle / 360 degrees) * (2 * π * radius)

Plugging in the given values:

Arc length = (42 / 360) * (2 * π * 14)
Arc length = (0.1167) * (87.9646)
Arc length ≈ 10.265 inches

Therefore, the length of the intercepted arc to the nearest inch is approximately 10 inches.