Chapter 6.1, Problem 120AYU

To determine

To find: Whether 1 radian is greater smaller or equal to 1 degree.

Explanation of Solution

Given information:

The given terms are 1 radian and 1 degree.

Concept used:

1 radian: The angle subtended at the centre of the circle by an arc that is given by,

  $\theta =\frac{l}{r}$

Here, the length of the arc is $l$ and the radius of the arc is $r$ .

1 degree: It is the $\frac{1}{360}$ th part of the angle subtended at the centre of the full circle.

Convert 1 degree into radian as,

  $\begin{array}{c}1°=1°\left|\frac{\pi \text{rad}}{180°}\right|\\ =0.0174\text{rad}\end{array}$

Hence, 1 radian is greater than 1 degree.