Respuesta :

The measure of the angle that represents [tex]\frac{1}{8}[/tex] of a circle is 45°

Step-by-step explanation:

Let us revise some important rules in a circle of radius r

  • The length of the circle is 2πr
  • The measure of the circle is 360°

∵ An angle represent [tex]\frac{1}{8}[/tex] of a circle

∵ The measure of the circle is 360°

- The measure of the angle is  [tex]\frac{1}{8}[/tex] of the measure of the circle

∴ The measure of the angle =  [tex]\frac{1}{8}[/tex] × 360°

∴ The measure of the angle = 45°

The measure of the angle that represents [tex]\frac{1}{8}[/tex] of a circle is 45°

Learn more:

You can learn more about the circle in brainly.com/question/2860697

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