Convert Degree to Radian (° to rad)
Degree (°) and Radian (rad) are both units of length. 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 ° to rad.
Degree (°) and Radian (rad) are both units of length. With the conversion form above, you can effortlessly and accurately convert degree to radian. This free online calculator tool makes it simple and easy to perform the conversion from ° to rad.
What is Degree to Radian Conversion?
Degree (°) and radian (rad) are both units used to measure angle, but they serve different purposes depending on the scale of the measurement. If you ever need to convert degree to radian, knowing the exact conversion formula is essential.
° to rad 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 from degree to radian 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 convert degree to radian, multiply the selected ° value by 0.0174532925. This factor is essential for accurately converting from a smaller unit (°) to a much larger unit (rad).
- 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?
Angle units are used to measure the rotation or inclination of lines, segments, or planes relative to each other. They are essential in mathematics, physics, engineering, and various other fields. This guide provides an overview of common angle units and their applications. Degrees (°) Deg...... (Read more on Angle).
What is Degree?
Degree (°) is an unit of angle measurement.
......(Read more on Degree).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 0.4 Degree to Radian.
Solution:
We know that one Degree is equivalent to 0.0174532925 Radian.
Therefore,
0.4 ° = 0.4 x 0.0174532925 rad.
0.4 ° = 0.006981317 rad.
Hence, 0.4 Degree is approximately equal to 0.006981317 Radian.
Example 2:
Convert 8 Degree to Radian.
Solution:
We know that one Degree is equivalent to 0.0174532925 Radian.
Therefore,
8 ° = 8 x 0.0174532925 rad.
8 ° = 0.13962634 rad.
Hence, 8 Degree is approximately equal to 0.13962634 Radian.
Example 3:
Convert 36 Degree to Radian.
Solution:
We know that one Degree is equivalent to 0.0174532925 Radian.
Therefore,
36 ° = 36 x 0.0174532925 rad.
36 ° = 0.62831853 rad.
Hence, 36 Degree is approximately equal to 0.62831853 Radian.
Example 4:
Convert 399 Degree to Radian.
Solution:
We know that one Degree is equivalent to 0.0174532925 Radian.
Therefore,
399 ° = 399 x 0.0174532925 rad.
399 ° = 6.963863708 rad.
Hence, 399 Degree is approximately equal to 6.963863708 Radian.
Example 5:
Convert 1548 Degree to Radian.
Solution:
We know that one Degree is equivalent to 0.0174532925 Radian.
Therefore,
1548 ° = 1548 x 0.0174532925 rad.
1548 ° = 27.01769679 rad.
Hence, 1548 Degree is approximately equal to 27.01769679 Radian.
Frequently Asked Questions
How do you convert ° to rad formula?
The main formula to convert ° to rad is to multiply ° 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 rad = 15 x 0.0174532925 rad, 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).