Question

What is the length of the intercepted arc AB ?

Answer 1

the length of arc AB is 8.4 meters

Explanation:

∵m∠AOB = 120°

∵ Measure circle 360°

∴
`(120)/(360)=(1)/(3)`

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

∵Length circle = 2 × π × r

∴Length of arc AB =
`(1)/(3)` × 2 × 3.14 × 4 = 8.373333 ≅ 8.4 to the nearest tenth