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convert the angle in radians to degrees. -15π radians -15π radians = □°

Question

convert the angle in radians to degrees.
-15π radians
-15π radians = □°

Explanation:

Step1: Recall radian-degree conversion rule

To convert radians to degrees, multiply by $\frac{180^\circ}{\pi}$.

Step2: Apply conversion to the given value

$$-15\pi \times \frac{180^\circ}{\pi}$$

Step3: Simplify the expression

The $\pi$ terms cancel out: $-15 \times 180^\circ$

Answer:

$-2700^\circ$