What is Angle?
A measurement of an angle or the amount of turning required to align or make parallel two lines or planes.
A line or plane's angle, in other words, is how much it is turned away from another.
Understanding how to work with angles can be highly significant because angles are utilized in geometry, trigonometry, geography, construction, and mapping. A standard instrument for determining the angle between two lines is a protractor.
Degrees and radians are two popular ways to measure angles. A line is 360 degrees away in a full circle, equal to 2 radians. A protractor is used to measure angles; you may learn how to use one or download a printable protractor for your project.
To convert between the various angle measurement units, use the tools in our unit conversion section above.
Angle measurement units
Radians, milliradians, degrees, minutes of arc, seconds of arc, gradians, revolutions, circles, and mils are all examples of angle units (NATO).
- Conversion of degrees, minutes, and seconds to decimal degrees
- Converting angles in decimal degrees from degrees (°), minutes ('), and seconds (").
- Press the Convert button after entering the angle in degrees, minutes, and seconds.
How to Convert Units of angle?
A conversion factor is used to execute conversions. Converting between units can be as easy as multiplication if you know the conversion factor:
S * C = E
S is the initial value, C is the conversion factor, and E is the final value after conversion.
Multiply the value in the right column of the table below to convert any unit, such as 5 radians, into degrees.
5 radians times 57.29578 [radians/degrees] equals 286.4789 degrees.
Divide the value in the right column by the number in the left column or multiply by the reciprocal, 1/x, to convert degrees back into units.
5 radians are equal to 286.4789 degrees, or 57.29578 degrees per radian.
You can multiply the factor for A to convert it into degrees and divide the factor for B to turn it out of degrees to convert between any two units in the left column, for example, from A to B. Alternately; you can calculate the required single component by dividing the A factor by the B factor.
An example conversion would be to multiply radians by 57.29578 and then divide by 360 to get revolutions. You can also multiply by 57.29578/360 to get 0.1591549. Therefore, you multiply by 0.1591549 to translate directly from radians to revolutions.
Consider the conversion from radians to degrees. Set it up so radian will cancel out, leaving you with a degree since you can find multiple anything by 1 and maintain the original number in other units. Follow this example to learn how to convert the units as well.
Since one degree is equal to 0.01745329 radians, one degree is equivalent to 0.01745329 radians.
This conversion can be expressed mathematically as follows: 1 radian = 1 radian * (1 degree / 0.01745329 radians) = 57.29578 degrees.
Since 1 * 57.29578 = 57.29578, we now have a multiplier for converting radians to degrees. Please take note that these values contain rounding mistakes.
We can now get the conversion factor for converting back since 1 radian equals 57.29578 degrees. We get approximately 0.01745329 radians = 1 degree by multiplying both sides of the equation by 57.29578. Therefore, multiplying degrees by 0.01745329 will convert degrees to radians.