Convert Quadrant to Radian
Input the number of quadrants you want to convert to radians.
How to Convert Quadrants to Radians
The quadrant and radian are both units of angle. 1 quadrant equals 1.5707963268 radians. This means to convert quadrants to radians, you multiply by 1.5707963268.
Formula
Step-by-Step Example
Convert 5 quadrant to radians:
We need to convert quadrants to radians
Since 1 quadrant = 1.5707963268 rad, multiply by 1.5707963268
5 × 1.5707963268 = 7.853981634
5 quadrant = 7.853981634 rad
Quadrant to Radian Conversion Table
Quick reference table for common quadrant to radian conversions. Click any value for detailed calculation.
| Quadrants (quadrant) | Radians (rad) |
|---|---|
| 1 quadrant | 1.5707963268 rad |
| 2 quadrant | 3.1415926536 rad |
| 5 quadrant | 7.853981634 rad |
| 10 quadrant | 15.707963268 rad |
| 15 quadrant | 23.561944902 rad |
| 20 quadrant | 31.415926536 rad |
| 25 quadrant | 39.26990817 rad |
| 50 quadrant | 78.53981634 rad |
| 100 quadrant | 157.07963268 rad |
About These Units
Quadrant (quadrant)
A quadrant is 1/4 of a circle or 90°, representing a right angle. Quadrants divide the coordinate plane and compass into four sections: NE, SE, SW, NW. Astronomical quadrants were historical instruments for measuring celestial angles up to 90°.
Radian (rad)
A radian (rad) is the SI unit of angle where the arc length equals the radius. One radian ≈ 57.3°. A full circle is 2π radians (≈6.28 rad). Radians are essential in calculus, physics, and engineering. Trigonometric functions in most programming languages use radians.
Frequently Asked Questions
How do I convert quadrants to radians?
To convert quadrants to radians, multiply the value by 1.5707963268. For example, 10 quadrant = 15.707963268 rad.
How many radians are in 1 quadrant?
1 quadrant equals 1.5707963268 radians.
What is the formula for quadrants to radians?
The formula is: rad = quadrant × 1.5707963268.