mya4481 mya4481
  • 15-02-2019
  • Mathematics
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What is the length of the intercepted arc AB ?

What is the length of the intercepted arc AB class=

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Ashraf82
Ashraf82 Ashraf82
  • 15-02-2019

Answer:

the length of arc AB is 8.4 meters

Step-by-step explanation:

∵m∠AOB = 120°

∵ Measure circle 360°

∴[tex]\frac{120}{360}=\frac{1}{3}[/tex]

∴The length of arc AB is 1/3 of the length of the circle

∵Length circle = 2 × π × r

∴Length of arc AB = [tex]\frac{1}{3}[/tex] × 2 × 3.14 × 4 = 8.373333 ≅ 8.4 to the nearest tenth

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