Question

in circle P with m angle NPQ=60Degrees and NP=19units. find the length of arc NQ. round to the nearest hundredth

Answer 1

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.