awsomelauren101 awsomelauren101
  • 09-07-2021
  • Mathematics
contestada

What fraction of a circle does an arc measure of 30 degrees encompass?


1/12


1/4


1/6


1/3

Respuesta :

queenb13267
queenb13267 queenb13267
  • 09-07-2021

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

A full circle consists of 360°, so we can write the fraction of this arc as [tex]\frac{30}{360}[/tex], which can be simplified to [tex]\frac{1}{12}[/tex] by dividing the numerator and denominator by 30.

**This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I'm always happy to help!

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