Question

find the measure of the angle in radians. 1 rotation counterclockwise 5 (2π) = 2π/5

Explanation:

Step1: Recall the formula for angle measure in radians

The formula for the measure of an angle in radians is $\theta = n\times2\pi$, where $n$ is the number of full rotations.

Step2: Substitute the value of $n$

Here, $n = \frac{1}{5}$. So, $\theta=\frac{1}{5}\times2\pi$.

Step3: Calculate the result

$\theta=\frac{2\pi}{5}$ radians.

Answer:

$\frac{2\pi}{5}$