Question

Convert the angle to radians. Leave as a multiple of PI. 360 degrees

Answer 1

To convert 360 degrees to radians, we can use the conversion formula:

radians = degrees × π / 180

Substituting the given angle, we get:

radians = 360 × π / 180

Simplifying the expression, we get:

radians = 2π

Therefore, 360 degrees is equivalent to 2π radians, where π is the mathematical constant pi. So the answer is (B) 2π

Answer 2

`2\pi \ radians`

Explanation:

we know that

`\pi \ rad=180\°`

so

using proportion

Convert 360 degrees to radians

`(\pi)/(180)=(x)/(360) \\ \\x=(\pi)*360/180\\\\x=2\pi \ radians`