Questions: Convert the given angle in radian measure into degrees. -5π/2 radians -5π/2 radians =

Convert the given angle in radian measure into degrees. -5π/2 radians -5π/2 radians =
Transcript text: Convert the given angle in radian measure into degrees. \[ \begin{array}{l} -\frac{5 \pi}{2} \text { radians } \\ -\frac{5 \pi}{2} \text { radians }= \end{array} \] $\square$ (Simplify your answer. Type an integer or decimal rounded to tw
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Solution

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Solution Steps

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

Step 1: Identify the Given Angle in Radians

The given angle is \(-\frac{5\pi}{2}\) radians.

Step 2: Use the Conversion Factor

To convert radians to degrees, use the conversion factor \(\frac{180}{\pi}\).

Step 3: Perform the Conversion

Multiply the given radian measure by the conversion factor: \[ -\frac{5\pi}{2} \times \frac{180}{\pi} = -450 \]

Final Answer

\(\boxed{-450^\circ}\)

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