Chapter C, Problem 1E

(a)

To determine

To calculate:

The value of following degrees into radians

  $210°$

Answer to Problem 1E

  $210°$ into radian is $\frac{7\pi }{6}rad$ .

Explanation of Solution

Given information:

  $210°$

Formula Used:

The relation between the degree and radian is shown by below expression:

  $1°=\frac{\pi }{180}rad$

Calculation:

The given value of degree is $210°$ .

Convert it into radian as:

  $\begin{array}{l}210°=210\times \frac{\pi }{180}rad\\ 210°=7\times \frac{\pi }{6}rad\\ 210°=\frac{7\pi }{6}rad\end{array}$

(b)

To determine

To calculate:

The value of following degrees into radians

  $9°$

Answer to Problem 1E

  $9°$ into radian is $\frac{\pi }{20}rad$ .

Explanation of Solution

Given information:

  $9°$

Formula Used:

The relation between the degree and radian is shown by below expression:

  $1°=\frac{\pi }{180}rad$

Calculation:

The given value of degree is $9°$ .

Convert it into radian as:

  $\begin{array}{l}9°=9\times \frac{\pi }{180}rad\\ 9°=\frac{\pi }{20}rad\end{array}$