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In circle O, central angle AOB measures StartFraction pi Over 3 EndFraction radians. Circle O is shown. Line segments A O and B O are radii with length 18 centimeters. What is the length of arc AB? 6π cm 12π cm 18π cm 36π cm

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Answer:

6(pie)

Step-by-step explanation:

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The length of the arc AB is 6π cm

The length of the arc is in radian . Therefore,

Length of an arc

  • Length of an arc = angle measure in radian × radius

Therefore,

angle in radian = π/3

Therefore,

r = 18 cm

length of an arc =  π/3 × 18

length of an arc =  18π / 3

length of an arc =  6π

Therefore, the length of the arc AB is 6π cm

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