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Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

Respuesta :

Azieq
r = A / tetha

70° × pi/180 = radian
radian = 1.222 rad

3 = A / 1.222
Arc = 3.7 meter

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The approximate length of minor arc XZ rounded to the nearest tenth of a meter is 3.7 m.

Length of an arc

length of arc = ∅ / 360 × 2πr

where

  • r = radius
  • ∅= central angle

Therefore,

radius = 3m

∅ = 70°

Hence,

length of arc = 70  / 360 × 2 × 3.14 × 3

length of arc = 1318.8 / 360

length of arc = 3.66333333333

length of arc = 3.66 m

learn more on arc here:https://brainly.com/question/8958098

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