Question

10 degrees 40'30" can be expressed in radiand as​

Answer 1

Answer:

1degree=60 minutes

1degree=3600seconds

then

10 + 40/60 + 30/3600 Add this and you will get in degress.

Answer 2

Answer:

180°. ..............=π

10°. ...............=π/18

now.....

1°=60'.............=π/180

40'....................=40π/(180×60)

now.....

1'=60''............=π/(60×180)

30''..........=(30π)/(60×60×180)

• now....10°40'30''

$\frac{\pi}{18} + \frac{ 40\pi}{180 \times 60} + \frac{30\pi}{180 \times 60 \times 60} \\ = \frac{36000\pi + 2400\pi + 30\pi}{180 \times 60 \times 60} \\ = \frac{38430\pi}{648000} \\ (dividing \: by \: 90) \\ \\ = \frac{427\pi}{7200}$

now....10°40'30''

ANSWER IS. 427π/7200.......