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${\displaystyle \frac{\pi }{2}}$radians = ${\displaystyle \frac{360}{2}}$ 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