Chapter 4.1, Problem 78E

To determine

Larger unit from degree or radian.

Explanation of Solution

Degree or radian is the unit of angle measurement. Generally, angle is measured in degree and radian is the basic unit of angle. Also, radian is the standard scale of angle measurement. Full circular angle is the 360 degree or $2\pi$ radian.

Relation between radian and degree is given as follows:

  $\begin{array}{l}360°=2\pi \text{rad}\\ 1°=\frac{\pi }{180}\text{rad}\mathrm{......}\left(1\right)\end{array}$

Thus, from equation (1), degree is the larger unit as compare to radian unit.