write the value of 1 radians in degree minutes and seconds

Open in App

Solution

1 radian = 57 degree 17 min 44.806 sec

1 rad = 180°/π = 57.295779513°

example

The whole units of degrees will remain the same (i.e. in 121.135°
longitude, start with 121°).

Multiply the decimal by 60 (i.e. .135 * 60 = 8.1).

The whole number becomes the minutes (8').

Take the remaining decimal and multiply by 60. (i.e. .1 * 60 = 6).

The resulting number becomes the seconds (6"). Seconds can remain as a decimal.

Take your three sets of numbers and put them together, using the symbols for degrees (°), minutes (‘), and seconds (") (i.e. 121°8'6" longitude)

Suggest Corrections

Similar questions

Explain the conversion of angle in degrees, minutes and seconds into radian

Calculate the angle of (a) $1^{\circ}$ (degree) (b) $1^{'}$ (minute of arc or arc min) and (c) $1^{''}$ (second of arc or arc second) in radians.
Use $360^{\circ} = 2 π$ radian, $1^{\circ} = 60^{'}$ and $1^{'} = 60^{''}$

Q. If

1

degree

= 0.017

radians, then the approximate value of

sin 46

degrees is

Calculate the angle of $(a) 1^{\circ} (degree) (b) 1'$ (minute of arc or arcmin) and $(c) 1^{''}$ (second of arc or arc second) in radians. Use $360^{\circ} = 2 π rad, 1^{\circ} = 60^{'} and 1' = 60$

Q. What is the approximate value of 1 radian in degree measure?

Join BYJU'S Learning Program