mitchellshae16 mitchellshae16
  • 16-09-2019
  • Mathematics
contestada

Convert the given angle measure from degrees to radians: 300°.

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Paounn
Paounn Paounn
  • 16-09-2019

Answer:

[tex] \frac 53 \pi[/tex]

Step-by-step explanation:

Simple formula: [tex]\frac \alpha {\alpha°} =\frac \pi {180°}[/tex] where [tex]\alpha[/tex] is the angle in radians, and [tex]\alpha°[/tex] is the angle in degrees. By plugging numbers you'll get the result.

Another way to get the result, which I like more, is to think of it in parts of the whole circle. 300° is 5/6 of a circle, and a circle measures [tex]2\pi[/tex] Hence, you want 5/6 of [tex]2\pi[/tex], or [tex] \frac 53 \pi[/tex]

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