International System of unit (SI) : Angle=Degree
Radian | Milliradian | Kiloradian | Degree | Turn | Gradian | Minute of Arc | Second of Arc | Octant | Quadrant | Degree Minute Second | Millidegree | Circular Radian | Full Circle | Half Circle | Third Circle | Quarter Circle | Three Eighth Circle | One Eighth Circle | Small Angle | Large Angle | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Radian | 1 | 0.001 | 1,000 | 0.017 | 6.283 | 0.016 | 0 | 4.8481e-6 | 0.785 | 1.571 | 0.017 | 1.7453e-5 | 0.11 | 6.283 | 3.142 | 2.094 | 1.571 | 2.356 | 0.785 | 1.7453e-5 | 0.002 |
Milliradian | 1,000 | 1 | 1.0000e+6 | 17.453 | 6,283.183 | 15.708 | 0.291 | 0.005 | 785.398 | 1,570.796 | 17.453 | 0.017 | 109.662 | 6,283.183 | 3,141.592 | 2,094.394 | 1,570.796 | 2,356.194 | 785.398 | 0.017 | 1.745 |
Kiloradian | 0.001 | 1.0000e-6 | 1 | 1.7453e-5 | 0.006 | 1.5708e-5 | 2.9089e-7 | 4.8481e-9 | 0.001 | 0.002 | 1.7453e-5 | 1.7453e-8 | 0 | 0.006 | 0.003 | 0.002 | 0.002 | 0.002 | 0.001 | 1.7453e-8 | 1.7453e-6 |
Degree | 57.296 | 0.057 | 5.7296e+4 | 1 | 360 | 0.9 | 0.017 | 0 | 45 | 90 | 1 | 0.001 | 6.283 | 360 | 180 | 120 | 90 | 135 | 45 | 0.001 | 0.1 |
Turn | 0.159 | 0 | 159.155 | 0.003 | 1 | 0.003 | 4.6296e-5 | 7.7160e-7 | 0.125 | 0.25 | 0.003 | 2.7778e-6 | 0.017 | 1 | 0.5 | 0.333 | 0.25 | 0.375 | 0.125 | 2.7778e-6 | 0 |
Gradian | 63.662 | 0.064 | 6.3662e+4 | 1.111 | 400 | 1 | 0.019 | 0 | 50 | 100 | 1.111 | 0.001 | 6.981 | 400 | 200 | 133.333 | 100 | 150 | 50 | 0.001 | 0.111 |
Minute of Arc | 3,437.748 | 3.438 | 3.4377e+6 | 60 | 2.1600e+4 | 54 | 1 | 0.017 | 2,700 | 5,400 | 60 | 0.06 | 376.991 | 2.1600e+4 | 1.0800e+4 | 7,200 | 5,400 | 8,100 | 2,700 | 0.06 | 6 |
Second of Arc | 2.0626e+5 | 206.265 | 2.0626e+8 | 3,600 | 1.2960e+6 | 3,240 | 60 | 1 | 1.6200e+5 | 3.2400e+5 | 3,600 | 3.6 | 2.2619e+4 | 1.2960e+6 | 6.4800e+5 | 4.3200e+5 | 3.2400e+5 | 4.8600e+5 | 1.6200e+5 | 3.6 | 360 |
Octant | 1.273 | 0.001 | 1,273.24 | 0.022 | 8 | 0.02 | 0 | 6.1728e-6 | 1 | 2 | 0.022 | 2.2222e-5 | 0.14 | 8 | 4 | 2.667 | 2 | 3 | 1 | 2.2222e-5 | 0.002 |
Quadrant | 0.637 | 0.001 | 636.62 | 0.011 | 4 | 0.01 | 0 | 3.0864e-6 | 0.5 | 1 | 0.011 | 1.1111e-5 | 0.07 | 4 | 2 | 1.333 | 1 | 1.5 | 0.5 | 1.1111e-5 | 0.001 |
Degree Minute Second | 57.296 | 0.057 | 5.7296e+4 | 1 | 360 | 0.9 | 0.017 | 0 | 45 | 90 | 1 | 0.001 | 6.283 | 360 | 180 | 120 | 90 | 135 | 45 | 0.001 | 0.1 |
Millidegree | 5.7296e+4 | 57.296 | 5.7296e+7 | 1,000 | 3.6000e+5 | 900 | 16.667 | 0.278 | 4.5000e+4 | 9.0000e+4 | 1,000 | 1 | 6,283.19 | 3.6000e+5 | 1.8000e+5 | 1.2000e+5 | 9.0000e+4 | 1.3500e+5 | 4.5000e+4 | 1 | 100 |
Circular Radian | 9.119 | 0.009 | 9,118.903 | 0.159 | 57.296 | 0.143 | 0.003 | 4.4210e-5 | 7.162 | 14.324 | 0.159 | 0 | 1 | 57.296 | 28.648 | 19.099 | 14.324 | 21.486 | 7.162 | 0 | 0.016 |
Full Circle | 0.159 | 0 | 159.155 | 0.003 | 1 | 0.003 | 4.6296e-5 | 7.7160e-7 | 0.125 | 0.25 | 0.003 | 2.7778e-6 | 0.017 | 1 | 0.5 | 0.333 | 0.25 | 0.375 | 0.125 | 2.7778e-6 | 0 |
Half Circle | 0.318 | 0 | 318.31 | 0.006 | 2 | 0.005 | 9.2593e-5 | 1.5432e-6 | 0.25 | 0.5 | 0.006 | 5.5556e-6 | 0.035 | 2 | 1 | 0.667 | 0.5 | 0.75 | 0.25 | 5.5556e-6 | 0.001 |
Third Circle | 0.477 | 0 | 477.465 | 0.008 | 3 | 0.008 | 0 | 2.3148e-6 | 0.375 | 0.75 | 0.008 | 8.3333e-6 | 0.052 | 3 | 1.5 | 1 | 0.75 | 1.125 | 0.375 | 8.3333e-6 | 0.001 |
Quarter Circle | 0.637 | 0.001 | 636.62 | 0.011 | 4 | 0.01 | 0 | 3.0864e-6 | 0.5 | 1 | 0.011 | 1.1111e-5 | 0.07 | 4 | 2 | 1.333 | 1 | 1.5 | 0.5 | 1.1111e-5 | 0.001 |
Three Eighth Circle | 0.424 | 0 | 424.413 | 0.007 | 2.667 | 0.007 | 0 | 2.0576e-6 | 0.333 | 0.667 | 0.007 | 7.4074e-6 | 0.047 | 2.667 | 1.333 | 0.889 | 0.667 | 1 | 0.333 | 7.4074e-6 | 0.001 |
One Eighth Circle | 1.273 | 0.001 | 1,273.24 | 0.022 | 8 | 0.02 | 0 | 6.1728e-6 | 1 | 2 | 0.022 | 2.2222e-5 | 0.14 | 8 | 4 | 2.667 | 2 | 3 | 1 | 2.2222e-5 | 0.002 |
Small Angle | 5.7296e+4 | 57.296 | 5.7296e+7 | 1,000 | 3.6000e+5 | 900 | 16.667 | 0.278 | 4.5000e+4 | 9.0000e+4 | 1,000 | 1 | 6,283.19 | 3.6000e+5 | 1.8000e+5 | 1.2000e+5 | 9.0000e+4 | 1.3500e+5 | 4.5000e+4 | 1 | 100 |
Large Angle | 572.958 | 0.573 | 5.7296e+5 | 10 | 3,600 | 9 | 0.167 | 0.003 | 450 | 900 | 10 | 0.01 | 62.832 | 3,600 | 1,800 | 1,200 | 900 | 1,350 | 450 | 0.01 | 1 |
The Angle Converter is an essential tool designed to facilitate the conversion of various angle measurements. Whether you need to convert degrees to radians, or vice versa, this tool provides a seamless experience for users in need of precise calculations. With a range of metrics including radians, milliradians, kiloradians, and more, our Angle Converter is perfect for students, engineers, architects, and anyone else who requires accurate angle measurements.
An angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint known as the vertex. Angles are measured in degrees (ยฐ), radians (rad), and other units, making it crucial to have a reliable conversion tool at your disposal.
The standard unit of measurement for angles is the degree (ยฐ), which is subdivided into minutes and seconds. However, radians are often used in mathematical contexts, particularly in calculus and trigonometry. The Angle Converter allows users to switch between these units effortlessly, ensuring consistency and accuracy in calculations.
The concept of measuring angles dates back to ancient civilizations, where angles were used in astronomy and architecture. The degree system was established by the Babylonians, who divided a circle into 360 degrees. Over time, the use of radians became prevalent in mathematics, providing a more natural way to relate angles to arc lengths.
To convert 90 degrees to radians, you can use the formula:
[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} ]
Thus, ( 90ยฐ \times \frac{\pi}{180} = \frac{\pi}{2} ) radians.
The Angle Converter supports various units, including:
To use the Angle Converter, follow these simple steps:
What is the difference between degrees and radians?
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By utilizing the Angle Converter, you can ensure accurate and efficient angle measurements, enhancing your work in various fields. For more information and to access the tool, visit Angle Converter Tool.