Question

express the following angles in degrees minutes and seconds 1/5 radian​

Answer 1

Answer:

36°0'0"

Step-by-step explanation:

2π radian= 360°

Thus, π= 180°, and π/5= 180/5= 36°

Answer 2

Answer:

1/5 radian = 57' 17" 42"'

Step-by-step explanation:

In the question,

We need to find the value of 1/5 radians in degrees minutes and seconds.

So,

We know that,

1 degree = 60 minutes

1 minute = 60 seconds

Also,

180 degrees = π radians = 3.14 radians

Now,

1/5 radian = 180/3.14 = 57.295 degrees

So,

In 57.295 degrees we have 57 degrees.

For 0.295 degrees = 0.295 x 60 =  17.7 minutes

For 0.7 minutes we have = 0.7 x 60 = 42 seconds

So,

1/5 radian = 57 degrees 17 minutes and 42 seconds.

Or,

Therefore, the correct representation is 1/5 radians = 57' 17" 42"'