Question

question 4
convert the angle in radians to degrees.
\\( \frac { 13 \pi } { 9 } \\)
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Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, use the formula: Degree measure = Radian measure $\times\frac{180^{\circ}}{\pi}$.

Step2: Substitute the given value

Substitute $\frac{13\pi}{9}$ into the formula: $\frac{13\pi}{9}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out. Then, $\frac{13\times180^{\circ}}{9}=\frac{13\times20^{\circ}}{1}$ (since $180\div9 = 20$).

Answer:

$260^{\circ}$