Question

What is 5 pi over 4 radians in degrees? 45° 135° 225° 315°

Answer 1

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 2

Answer:

Option (c) is correct.

Radian $\frac{5\pi}{4}$ in degree is 225°

Step-by-step explanation:

Given: Radian $\frac{5\pi}{4}$

We have to convert the given radian into degree.

To convert radian into degree multiply the radian with $\frac{180}{\pi}$

Thus, Radian $\frac{5\pi}{4}$ in degree measure is given as

$\frac{5\pi}{4}\times\frac{180}{\pi}$

Simplify, we have,

$\frac{5\pi}{4}=225^{\circ}$

Thus,  Radian $\frac{5\pi}{4}$ in degree is 225°