Respuesta :

225 (since the fraction is over 180° (because 5Π/4 > Π we know that the answer must be bigger than 180° (because 180° = Π (radians)
and its less than 270° because 270° = 3Π/2 or 6π/4

Answer:

Option (c) is correct.

Radian [tex]\frac{5\pi}{4}[/tex] in degree is 225°

Step-by-step explanation:

Given: Radian [tex]\frac{5\pi}{4}[/tex]

We have to convert the given radian into degree.

To convert radian into degree multiply the radian with [tex]\frac{180}{\pi}[/tex]

Thus, Radian [tex]\frac{5\pi}{4}[/tex] in degree measure is given as

[tex]\frac{5\pi}{4}\times\frac{180}{\pi}[/tex]

Simplify, we have,

[tex]\frac{5\pi}{4}=225^{\circ}[/tex]

Thus,  Radian [tex]\frac{5\pi}{4}[/tex] in degree is 225°

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