SOLUTION: express the following angle into radians 50degrees 37minutes 30seconds

Question 472271: express the following angle into radians 50degrees 37minutes 30seconds

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
first convert everything into degrees.
then convert degrees into radians.
50 degrees 37 minutes 30 seconds would be converted to degrees in the following manner.
30 seconds / 60 = .5 minutes.
add this to 37 minutes to get 37.5 minutes.
37.5 minutes / 60 = .625
add this to 50 degrees to get 50.625 degrees.
convert this to radians by dividing by 180 and multiplying by pi to get:
50.625 degrees = .28125 * pi radians.
multiplying this by pi gets you .883572934 radians.
you can convert this back to degrees by multiplying by 180 and dividing by pi to get:
.883572934 radians = 50.625 degrees.
you can convert this back to degrees and minutes and seconds by doing the following:
subtract 50 and hold it.
that's your hours.
multiply .625 by 60 to get 37.5 minutes.
subtract 37 and hold it.
that's your minutes.
multiply .5 by 60 to get 30 seconds.
your converted time is 50 degrees 37 minutes 30 seconds.
you're back where you started.
that's good.

RELATED QUESTIONS
How do you convert the following angle measurement 135� into radians (answered by Fombitz,stanbon)

If four of the exterior angles of a convex pentagon measure 50degrees. find the measure (answered by macston)

Convert the angle of degrees to radians. Express your answer in multiple of pie. 70... (answered by stanbon)

Convert the angle in degrees to radians. Express answer as a multiple of π.... (answered by Alan3354)

use an identity to find the value of sin^2 50degrees+cos^2... (answered by stanbon)

use and identify to find the value of sin2 50degrees + cos2... (answered by Fombitz)

The following questions concern a circle of radius 4 cm. a) Determine the area of the... (answered by stanbon)

If two points A and B are d miles apart, express angle ACB in radians and in degrees.... (answered by ikleyn,psbhowmick)

Find the value of the trigonometric expression: sin 50degrees cos 170degrees-cos... (answered by Edwin McCravy)