Question

write each measure in radians and express the answer in terms of π 4. 315 degrees 5. -450 degrees

Answer 1

We have to write each measure in radians and in terms of π.

We will use the fact that a full circle is 360° and also 2π radians, so we will use it as a conversion factor.

We can convert 315° as:

$315\degree\cdot\frac{2\pi}{360\degree}=\frac{315}{360}\cdot2\pi=\frac{7}{8}\cdot2\pi=\frac{7\pi}{4}\text{ }rad$

We can convert -450° as:

$-450\degree\cdot\frac{2\pi}{360\degree}=\frac{-450}{360}\cdot2\pi=-\frac{5}{4}\cdot2\pi=\frac{-5\pi}{2}\text{ }rad$

Answer:

315° = 7π/4 rad

-450° = -5π/2 rad