Question

1. - / 1 points convert the angle measure from radians to degrees. round to three decimal places. $\frac{4pi}{11}$

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 measure in degrees and $R$ is the measure in radians.

Step2: Substitute the given value

Given $R=\frac{4\pi}{11}$, then $D=\frac{4\pi}{11}\times\frac{180^{\circ}}{\pi}$.
The $\pi$ terms cancel out, and we get $D = \frac{4\times180}{11}$.

Step3: Calculate the value

$D=\frac{720}{11}\approx 65.455^{\circ}$

Answer:

$65.455$