christiangcuellar christiangcuellar

14-05-2021
Mathematics

contestada

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

Find the length of Arc YWV if line XZ12 meters Round to the nearest hundredth class=

Respuesta :

akposevictor akposevictor

19-05-2021

Answer:

53.62 m

Step-by-step 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)

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