Questions: Convert the angle 5π/4 from radians to degrees. degrees

Solution Steps

To convert an angle from radians to degrees, we use the conversion factor \( \frac{180}{\pi} \). Multiply the given angle in radians by this factor to get the angle in degrees.

The given angle is \( \frac{5\pi}{4} \) radians.

The conversion factor from radians to degrees is \( \frac{180}{\pi} \).

To convert the angle from radians to degrees, multiply the given angle by the conversion factor: \[ \text{angle\_degrees} = \left( \frac{5\pi}{4} \right) \times \left( \frac{180}{\pi} \right) \]

Simplify the expression by canceling out \( \pi \): \[ \text{angle\_degrees} = \left( \frac{5 \times 180}{4} \right) = 225.0 \]

Final Answer