Question

convert the angle in radians to degrees. - 2π radians - 2π radians = °

Explanation:

Step1: Recall conversion formula

We know that to convert radians to degrees, we use the formula $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the angle in degrees and $R$ is the angle in radians.

Step2: Substitute the given value

Given $R=- 2\pi$. Substituting into the formula: $D=-2\pi\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ terms cancel out, and $-2\times180^{\circ}=-360^{\circ}$.

Answer:

$-360$