Mishelgvala Mishelgvala
  • 23-06-2021
  • Mathematics
contestada

Find the length of AB and round answer to the nearest hundredth

Find the length of AB and round answer to the nearest hundredth class=

Respuesta :

jimrgrant1 jimrgrant1
  • 23-06-2021

Answer:

AB ≈ 11.17 m

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{80}{360}[/tex]

    = 2π × 8 × [tex]\frac{8}{36}[/tex]

    = 16π × [tex]\frac{2}{9}[/tex]

    = [tex]\frac{32\pi }{9}[/tex] ≈ 11.17 m ( to the nearest hundredth )

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