Question

What is the DMS measure of an angle that is 3.7 radians?

Answer 1

To change radians to degrees, multiply by 180/PI
3.7 * 180/PI = 211.994384198405 degrees
= 211 degrees 59.6630519042753 minutes
= 211 degrees 59 minutes 39.7831142565 seconds

Answer 2

`211^(\circ)59'24''`.

Explanation:

We have been given radians measure of an angle. We are asked to find the degree measure of the same angle.

To find the degree measure of the angle, we will multiply radian measure of the given angle by
`(180)/(\pi)`.

`3.7* (180)/(\pi)`

`(3.7* 180)/(\pi)`

`(666)/(\pi)`

`211.994384^(\circ)`

Now, we will convert 0.99 to minutes by multiplying by 60.

`0.99* 60=59.4\text{ minutes}`

Now, we will convert 0.4 minutes to seconds by multiplying by 60.

`0.4* 60=24\text{ seconds}`

Therefore, the DMS measure of our given angle would be
`211^(\circ)59'24''`.