How do you convert radians to degrees minutes and seconds?

How do you convert radians to degrees minutes and seconds?

1 Answer

1. 1) converting to degree : (Multiply by 180π ) = 2.5 x 180π = 143.31o.
2. 2) converting to minutes :(0.31 X 60) = 0.31 x 60 = 18.6′
3. 3) converting into seconds : (0.6 X 60) = 0.6x 60 = 36″
4. So , 2.5 radians = 143o 18’36”

What is the value of 1 radian in degrees minutes and seconds?

We know that 360° = 2π radians. Using this result, we have the value of 1 radian equal to 57.296°. Also, the formula for conversion of radians to minutes is 1 radian × (60 × 180)/π = 3437.747′. Hence, 1 radian is equal to 57.296 in degrees and 3437.747′ in minutes.

How do you convert radians to degrees?

From the latter, we obtain the equation 1 radian = (180π)o . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by 180°π radians .

How do you convert radians to seconds?

To convert a revolution per minute measurement to a radian per second measurement, multiply the frequency by the conversion ratio. The frequency in radians per second is equal to the revolutions per minute multiplied by 0.10472.

How do you convert radians to degrees minutes and seconds in Excel?

On the contrary, if you have radians in Column A, you want to convert the values in Column A to degrees in Column B, you should type this formula =DEGREES(A2) in B2. See screenshots: With the same steps, you can also convert angle units between degrees and minutes, or degrees and seconds.

How do you convert degrees minutes seconds to radians?

To convert degrees to radians, first convert the number of degrees, minutes, and seconds to decimal form. Divide the number of minutes by 60 and add to the number of degrees. So, for example, 12° 28′ is 12 + 28/60 which equals 12.467°. Next multiply by π and divide by 180 to get the angle in radians.

How do you write 1 radian?

In cross multiplication, the product of the left numerator times the right denominator is equal to the product of the left denominator times the right numerator. Let’s use this rule to solve the proportion. So, x = 180/pi. Thus, 1 radian = 180/pi degrees, or approximately 57.296 degrees.

What is the conversion of 1 in degree minute and second?

The conversion of degrees into degree-minute-seconds can be done with the help of the conversion factor of 60. This is because: 1 degree = 60 minutes (60′) 1 minute = 60 seconds (60”)