Question

52 degree 52 minutes 30 second convert into circular measure

Answer 1

5 degree 37 minute 30 second=0.098 Radians.

Explanation:

5°37'30"

First change the whole expression into the degree.

We know that the 1 minute=60 seconds.

So,30 second = 0.5 minutes.

1 degree=60 minutes

So, 37.5 minutes =0.625 degree

5°37'30"=5°+0.625°=5.625°

We know that the

\piRadians=180°

1\ Degree=\dfrac{\pi }{180}\ Radians....................(1)

So,multiply equation (1) both sides by 5.625

we get,

5.625\ Degree=\dfrac{\pi\times 5.625 }{180}\ Radians

5.625\ Degree=0.098 Radians

So,

5 degree 37 minute 30 second=0.098 Radians.

Answer 2

Answer:

Hope it helps!

Step-by-step explanation:

52°52'30"=52°+52'+30"=52°+(52÷60)°+(30÷3600)°

= 52.875°

therefore,the answer is, (52875×pi)÷(180×1000)=47pi/160