Question

convert the angle in radians to degrees.

• 2π radians
• 2π radians = □°

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \)

Step2: Substitute the given radian value

We are given \( -2\pi \) radians. Substitute this into the formula:
\( -2\pi \times \frac{180^\circ}{\pi} \)

Step3: Simplify the expression

The \( \pi \) in the numerator and denominator cancels out, and we have \( -2 \times 180^\circ = -360^\circ \)

Answer:

\( -360 \)