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.
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 answer
1 answer