Question

Find the length of Arc YWV, if line XZ=12 meters. (Round to the nearest hundredth)

Answer 1

53.62 m

Explanation:

Length of arc = θ/360 × 2πr

r = XZ = 12 m

m<XYZ = 180 - 108 = 72° (angles on a straight line)

θ = 85° + 72° + 108° = 265°

Length of arc YWV = 256/360 × 2 × π × 12

= 53.6165146 ≈ 53.62 m (nearest hundredth)