Chapter 12, Problem 14SGR

To determine

To find: Each Degree measure in radians.

Answer to Problem 14SGR

  ${215}^0=\frac{43\pi }{36}$

Explanation of Solution

Given information:

  ${215}^0$

Concept:

  $2\pi ={360}^0$

Given

  ${215}^0$

We know

  $\begin{array}{l}{360}^0=2\pi \\ \Rightarrow \frac{{360}^0}{360}=\frac{2\pi }{360}\\ \Rightarrow 1^0=\frac{\pi }{180}\\ \Rightarrow 215\times 1^0=215\times \frac{\pi }{180}\\ \Rightarrow {215}^0=\frac{43\pi }{36}\end{array}$

Therefore,

  ${215}^0=\frac{43\pi }{36}$