isabellabialka isabellabialka
  • 09-05-2020
  • Mathematics
contestada

a circle has a circumfrance of 18 . it has an arc of length 6 what is the central angle of the arc in degrees

Respuesta :

ezuerblis202 ezuerblis202
  • 09-05-2020

Answer:

120°

Step-by-step explanation:

Set up a proportion of the circle circumference and angle to the arc length and central angle x:

[tex]\frac{18}{360} = \frac{6}{x}[/tex]

Solve for x:

[tex]18x = 2160[/tex]

[tex]x = 120[/tex]

Measurement of the central angle of the arc is 120°

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