Question

how many radians is 360°?
\\(\frac{2pi}{2}\\) radians
\\(pi\\) radians
\\(\frac{pi}{2}\\) radians
\\(2pi\\) radians

Explanation:

Step1: Recall degree-radian conversion

We know that $180^\circ = \pi$ radians.

Step2: Scale to 360 degrees

Since $360^\circ = 2 \times 180^\circ$, substitute the conversion:
$360^\circ = 2 \times \pi = 2\pi$ radians.

Answer:

2π radians