Final answer:
The length of arc NQ is approximately 59.69 units when the angle NPQ is 60 degrees and radius NP is 19 units.
Step-by-step explanation:
To find the length of arc NQ, we will use the formula for arc length of a circle given by:
Arc Length = (Angle measure in degrees / 360 degrees) × (2π × radius)
For this question, the angle NPQ measures 60 degrees, and radius NP is 19 units.
Using the formula for arc length:
Arc Length = (60 / 360) × (2 × π × 19) ≈ (1 / 6) × (2π × 19)
Arc Length ≈ 19π ≈ 59.69 units (rounded to the nearest hundredth)
Therefore, the length of arc NQ is approximately 59.69 units.