juan200811024
juan200811024 juan200811024
  • 25-01-2022
  • Mathematics
contestada

In a circle with radius 3, an angle measuring 11π/6 radians intercepts an arc. Find the length of the arc in simplest form.

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semsee45
semsee45 semsee45
  • 25-01-2022

Answer:

see below

Step-by-step explanation:

length of arc = radius x angle (measured in radians)

minor arc = 3 x [tex]\frac{11}{6} \pi [/tex] = [tex]\frac{11}{2} \pi [/tex]

major arc = 3 x [tex](2\pi -\frac{11}{6} \pi )[/tex] = [tex]\frac{1}{2} \pi [/tex]

Answer Link
jimthompson5910 jimthompson5910
  • 25-01-2022

Answer:   11pi/2

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Work Shown:

L = arc length

L = (angle in radians)*(radius)

L = (11pi/6)*3

L = 11pi/2

Note: This formula only works if the angle is in radians.

Answer Link

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