Convert Degree to Radian (° to rad)
Degree (°) and Radian (rad) are both units of angle. With the conversion form below, you can effortlessly and accurately convert degree to radian. This free online calculator tool makes it simple and easy to perform the conversion from ° unit to the rad unit.
Degree to Radian conversion
Degree to Radian Conversion Formula
One Degree is equal to 0.0174532925 Radian.
Formula: 1 ° = 0.0174532925 rad
By using this conversion factor, you can easily convert any angle measurement from degree unit to radian unit with precision.
How to Convert ° to rad?
Converting from ° to rad is a straightforward process. Follow these steps to ensure accurate conversions from degree to radian:
- Select the Degree Value: Start by determining the degree (°) value you want to convert into radian (rad). This is your starting point.
- Multiply by the Conversion Factor: To calculate degree to equivalent radian amount, multiply the selected ° value by 0.0174532925.
- Illustration of Multiplication:
- 1 ° = 0.0174532925 rad
- 10 ° = 0.174532925 rad
- 100 ° = 1.74532925 rad
- Find the Conversion Result: The result of this multiplication is your converted value in radian unit. This represents the same angle but in a different unit.
- Save Your Radian Value: After converting, remember to save the result. This value represents the angle you initially measured, now expressed in radians.
- Alternative Method – Division: If you prefer not to multiply, you can achieve the same conversion by dividing the degree value by 57.295779579. This alternative method also gives you the correct angle in radians.
- Illustration of Division:
- rad = ° ÷ 57.295779579
What is Angle?
An angle is a measure of the rotation between two rays that share a common endpoint (vertex). The most common unit is the degree (°), where a full circle = 360°. The SI-derived unit is the radian (rad), where a full circle = 2π rad ≈ 6.2832 rad; one radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. Other units include the gradian (grad) (400 grad = full circle) and the arcminute (′) and arcsecond (″), widely used in astronomy and navigation.
What is Degree?
A degree (symbol: °) is a widely used unit of angle, equal to 1/360 of a complete rotation. Degrees are commonly used in mathematics, geometry, engineering, surveying, navigation, astronomy, construction, and everyday applications to measure the size of an angle. Although the SI unit for plane angle is the radian, the degree is accepted for use with the International System of Units (SI) and remains the most familiar angular unit worldwide.
One full circle contains 360 degrees, a right angle measures 90°, and a straight angle measures 180°. Degrees can also be divided into 60 arcminutes (′), with each arcminute further divided into 60 arcseconds (″) for greater precision in surveying, astronomy, and geodesy.
Degrees are used to specify compass bearings, map directions, road and railway curves, machine rotation, solar elevation, geographic coordinates, and the orientation of buildings and structures. Their intuitive scale and widespread adoption make degrees the standard unit for expressing angles in education, engineering drawings, navigation systems, and many scientific disciplines.
What is Radian?
Radian (rad) is an unit of angle measurement.
......(Read more on Radian).Some Degree to Radian conversions
- 0.1 Degree = 0.00174532925 Radian
- 0.2 Degree = 0.0034906585 Radian
- 0.3 Degree = 0.00523598775 Radian
- 0.4 Degree = 0.006981317 Radian
- 0.5 Degree = 0.00872664625 Radian
- 0.6 Degree = 0.0104719755 Radian
- 0.7 Degree = 0.01221730475 Radian
- 0.8 Degree = 0.013962634 Radian
- 0.9 Degree = 0.01570796325 Radian
- 1 Degree = 0.0174532925 Radian
- 2 Degree = 0.034906585 Radian
- 3 Degree = 0.0523598775 Radian
- 4 Degree = 0.06981317 Radian
- 5 Degree = 0.0872664625 Radian
- 6 Degree = 0.104719755 Radian
- 7 Degree = 0.1221730475 Radian
- 8 Degree = 0.13962634 Radian
- 9 Degree = 0.1570796325 Radian
- 10 Degree = 0.174532925 Radian
- 20 Degree = 0.34906585 Radian
- 30 Degree = 0.523598775 Radian
- 40 Degree = 0.6981317 Radian
- 50 Degree = 0.872664625 Radian
- 60 Degree = 1.04719755 Radian
- 70 Degree = 1.221730475 Radian
- 80 Degree = 1.3962634 Radian
- 90 Degree = 1.570796325 Radian
- 100 Degree = 1.74532925 Radian
Degree to Radian Examples
Example 1:
Convert 0.6 Degree angle to Radian unit.
Solution:
We know that one Degree is equivalent to 0.0174532925 Radian.
Therefore,
0.6 ° = 0.6 x 0.0174532925 rad.
0.6 ° = 0.0104719755 rad.
Hence, 0.6 Degree is approximately equal to 0.0104719755 Radian.
Example 2:
Convert 9 Degree angle to Radian unit.
Solution:
We know that one Degree is equivalent to 0.0174532925 Radian.
Therefore,
9 ° = 9 x 0.0174532925 rad.
9 ° = 0.1570796325 rad.
Hence, 9 Degree is approximately equal to 0.1570796325 Radian.
Frequently Asked Questions
How do you convert ° to rad formula?
The main formula for the conversion of the ° value to rad amount is to multiply the ° value by 0.0174532925.
There are 0.0174532925 Radian in 1 Degree.To convert from Degree to Radian, multiply your figure by 0.0174532925 (or divide by 57.295779579).
What is the relation between Degree and Radian?
The relationship between Degree and Radian is given as follows: 1 ° = 0.0174532925 rad
What is the value of 1 Degree in equivalent Radian?
1 Degree angle is equivalent to 0.0174532925 Radian angle.
What is the degree in radian?
1 degree equals 0.0174532925 radians.
What is the value of 15 Degree in Radians?
We know that 1 Degree is equal to 0.0174532925 Radian, multiply 15 by 0.0174532925 Radian. Therefore, 15 Degree = 15 x 0.0174532925 Radian, 15 ° = 0.2617993875 rad. Hence, the value of 15 Degree in Radian is 0.2617993875 rad.
What Angle is 1 rad?
The Angle of 1 rad spans 57.295779579 Degree.
1 ° how much radian?
1 Degree (°) corresponds to 0.0174532925 Radian (rad).