Convert quadrant to radian
Please provide values below to convert quadrant [None] to radian [rad], or Convert radian to quadrant.
1 None = 1.5707963268 rad. To convert quadrant to radian, multiply the value by 1.5707963268; to go the other way, divide by it (1 rad = 0.636619772367 None). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 None = 1.5707963268 rad
- 1 rad = 0.636619772367 None
- 10 None = 15.707963268 rad
- 100 None = 157.07963268 rad
How to Convert Quadrant to Radian
1 None = 1.57079632679715 rad
Example: convert 15 None to rad:
15 None = 15 × 1.57079632679715 rad = 23.5619449019573 rad
Quadrant to Radian Conversion Table
| quadrant | radian |
|---|---|
| 1 None | 1.5707963268 rad |
| 2 None | 3.14159265359 rad |
| 3 None | 4.71238898039 rad |
| 5 None | 7.85398163399 rad |
| 10 None | 15.707963268 rad |
| 20 None | 31.4159265359 rad |
| 50 None | 78.5398163399 rad |
| 100 None | 157.07963268 rad |
| 500 None | 785.398163399 rad |
| 1000 None | 1570.7963268 rad |
Quadrant
A quadrant is one of the four equal parts into which a circle is divided by its diameter, often used to measure angles in degrees from 0° to 90° within each part.
History/Origin
The concept of quadrants originates from ancient geometry and astronomy, where dividing circles into four parts helped in navigation and celestial observations. The term has been used since the 16th century in mathematical and navigational contexts.
Current Use
Today, quadrants are primarily used in mathematics, engineering, and navigation to measure and describe angles, especially in coordinate systems and trigonometry, without a specific unit symbol.
Radian
A radian is the standard unit of angular measure in mathematics, defined as the angle subtended at the center of a circle by an arc equal in length to the circle's radius.
History/Origin
The radian was introduced in the 19th century as a natural unit of angular measurement based on the properties of circles, providing a more mathematically convenient measure than degrees.
Current Use
Radians are widely used in mathematics, physics, and engineering for calculations involving angles, trigonometry, and periodic functions, serving as the standard angular unit in many scientific contexts.
Frequently Asked Questions
What is 1 quadrant in radian?
1 quadrant (None) = 1.5707963268 radian (rad).
How do you convert quadrant to radian?
Multiply the quadrant value by 1.5707963268. For example, 25 None × 1.5707963268 = 39.2699081699 rad.
What is 10 quadrant in radian?
10 None = 15.707963268 rad.
Which unit is larger, the quadrant or the radian?
The quadrant is the larger unit: 1 None = 1.5707963268 rad.