Question

the value of 6 radians
a)343 38'9''
b)343 14' 12''
c)343 38'11''​

Answer 1

Answer:

c) 343 38' 11''

Step-by-step explanation:

To convert radians to degrees, multiply (180/π) with the radian measure

So 6 rads= 6×(180/π)

By calculating, we get

6×(180/π)= (540×7)/11= 3780/11

= [343×(7/11)]°

Now, we don't write degrees in fractions

1°= 60'(also called minutes)

Now we will only convert the fraction part and leave the 343 part as it is. We will add it later in the final answer.

So, 7/11= (7/11)×60= 420/11= [38×(2/11)]'

Now, minutes are also not written in seconds

1'= 60"(also called as seconds)

Now we will only convert the fraction part and leave the 38 part as it is. We will add it later in the final answer.

So, 2/11= (2/11)×60= 120/11

= 10.9"(which we round off to 11)

So the final count is 343°38'11"

Hope it helps.

Thank you.