Question

convert 11pi/12 to degrees

Answer 1

A full revolution of the unit circle takes \(2\pi\text{ rad}\), or \(360^\circ\). Set up a ratio:
\[\frac{2\pi\text{ rad}}{360^\circ}=\frac{\dfrac{11\pi}{12}\text{ rad}}{x^\circ}\]
or simply,
\[\frac{2\pi}{360}=\frac{11\pi}{12x}\]Solve for \(x\).

Answer 2

another quick way to do this is to remember that pi is 180 degrees

Answer 3

so sub 180 degrees for pi

Answer 4

(11 times 180)/12
1980/12
165 degrees that is how I convert from radians to degrees