Question

How do you convert 180 degrees into radians?

Answer 1

Hint: The circumference of the circle is 2$\pi $times of radius or 2$\pi $times of radii
2$\pi $radians = 360 degrees

Complete step-by-step answer:
As we know that 2$\pi $radians = 360 degrees
Divide both the sides by 2
=> 2$\dfrac{\pi }{2}$radians = $\dfrac{{360}}{2}$ degrees
=> $\pi $radians = $180$ degrees
So, we can write 180 degrees as $\pi $radians

Note: The radian is pure measure based on the radius of the circle.
To convert radians to degrees – multiply by 180 and divide by $\pi $
To convert degrees to radians – multiply by $\pi $ and divide by 180