Question

What is $\frac{5\pi}{4}$ radians in degrees?

• A. 225°
• B. 180°
• C. 240°
• D. 360°

Answer 1

Answer:

A. 225°

To convert radians to degrees, use:

$1 \text{ rad} = \frac{180^\circ}{\pi}$

So,

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

$\frac{5\pi}{4}\times\frac{180}{\pi}=\frac{5\times180}{4}=225^\circ$

Therefore, the angle is 225°.