Question

How do i change a degree measure to a radian measure?

Answer 1

multiply by pi/180

Answer 2

ex:

30 degrees ----> (30)*(pi/180) = 30pi/180 = pi/6 radians

Answer 3

\[45 \times \pi/180 = 45\pi/180 = \pi/4\]

Answer 4

What is the total number of degrees in a circle? \(360^\circ\)
What about the total number of radians? \(2\pi\)
We can then determine a conversion factor by recognizing these both are equivalent; our conversion factor is then \(\dfrac{2\pi}{360^\circ}=\dfrac\pi{180^\circ}\)

Answer 5

That is another example for 45 degrees/

Answer 6

When the answer doesnt go into itself equally do i leave as is? For example 140pi/180

Answer 7

reduce as much as possible

Answer 8

Okay, perfect. :) Thanks guys.

Answer 9

140/180 = 14/18 = 7/9

so

140pi/180 = 7pi/9