Question

question 3
convert the angle in radians to degrees.
$\frac{7\pi}{4}$
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Explanation:

Step1: Recall the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi} \).

Step2: Substitute the given radian value

Given \( \text{Radians}=\frac{7\pi}{4} \), substitute into the formula: \( \frac{7\pi}{4}\times\frac{180^{\circ}}{\pi} \).

Step3: Simplify the expression

The \( \pi \) terms cancel out. Then \( \frac{7\times180^{\circ}}{4}=\frac{1260^{\circ}}{4} = 315^{\circ} \).

Answer:

\( 315 \)