Respuesta :

the answer to your question is 225 degrees

Answer:

[tex]\frac{5 \pi}{4}[/tex] radian into degree is, 225

Step-by-step explanation:

To convert radian into degree.

1 radian = [tex]\frac{180}{\pi}[/tex] degree.

Given the statement:

Convert [tex]\frac{5 \pi}{4}[/tex] radian into degree.

Using the conversion:

1 radian = [tex]\frac{180}{\pi}[/tex] degree.

then;

in  [tex]\frac{5 \pi}{4}[/tex] radian = [tex]\frac{180}{\pi} \times \frac{5 \pi}{4}  = \frac{900}{4} = 225^{\circ}[/tex]

Therefore, [tex]\frac{5 \pi}{4}[/tex] radian into degree is, 225

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