umahmedumhashim umahmedumhashim
  • 23-07-2022
  • Mathematics
contestada

Find the arc length if the measure of the central angle is 80° and the radius
is 8 inches.

Respuesta :

Katonn Katonn
  • 24-07-2022

Answer:

[tex]\frac{32\pi }{9}[/tex] or [tex]11.17[/tex]

Step-by-step explanation:

  • The formula for arc length is [tex]2\pi r( \frac{x}{360} )[/tex] where "r" stands for radius and "x" stands for your angle

[tex]2\pi 8(\frac{80}{360} )[/tex]

[tex]=16\pi (\frac{80}{360} )[/tex]

[tex]=16\pi (\frac{2}{9})[/tex]

[tex]=\frac{32\pi }{9}[/tex]

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