elixMakalaauerra
elixMakalaauerra elixMakalaauerra
  • 24-07-2016
  • Mathematics
contestada

What is the arc length if Θ = 2 pi over 7 and the radius is 3 cm? A. 7 pi over 12
B. 12 pi over 7
C. 6 pi over 7
D. 7 pi over 6

Respuesta :

konrad509
konrad509 konrad509
  • 24-07-2016
[tex]s= r\theta\\\\ s=3\cdot\dfrac{2\pi }{7}=\dfrac{6\pi}{7}[/tex]
Answer Link
RenatoMattice RenatoMattice
  • 30-11-2018

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

[tex]\theta=\frac{2\pi}{7} \\\\r=3\ cm[/tex]

An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.

Since we know the formula for "Length of an arc " , we get

[tex]L=r\times \theta\\\\L=\frac{2\pi}{7}\times 3\\\\L=\frac{6\pi}{7}[/tex]

Hence, Option 'C' is correct.


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