Q. 119 - Precalculus Enhanced with Graphing Utilities

Question

What is 1 radian? What is 1 degree?

Step-by-Step Solution

Answer

1 radian is a central angle in which it is obtained by when the radius of the circle,  while 1 degree is equal to $\frac{1}{{360}^{\circ }}$

Step 1. Given Information

The problem asks what is 1 radian and 1 degree.

Step 2. Definition of radian and degree

Radians and degrees are units used to measure the amount of rotation needed for the initial side to become coincident with the terminal side.

Step 3. 1 radian

1 radian is a central angle in which it is obtained by when the radius of the circle, which is r, and the arc length subtended by the angle's terminal and initial side make a length of equal to the radius, r.

Step 4. 1 Degree

1 degree is an angle which is equal to$\frac{1}{{360}^{\circ }}$ revolution.