Degrees to Quadrants

Convert degrees (°) to quadrants (quad) with formulas, examples, and conversion tables.

°
quad
1 ° = 0.0111 quad
Full precision:0.01111111 quad
Step-by-Step Solution

To convert 1 degrees to quadrants, we divide by 90 because one quadrant equals exactly 90 degrees.

1 quadrant = 90 degrees

Since there are 90 degrees in every quadrant, we divide our value by this factor:

1 ÷ 90 = 0.0111 quadrants

So 1 degrees = 0.0111 quadrants.

Quick check: 0.0111 × 90 = 1 degrees

How to Convert Degrees to Quadrants

To convert degrees to quadrants, divide the value by 90.

The Formula

Quadrants = Degrees ÷ 90

Key Fact

1 quadrant = 90 degrees

Tip: To convert quadrants back to degrees, multiply by 90.

Example Conversions

Example 1: 1 ° = 0.0111 quad
1 ÷ 90 = 0.0111
Example 2: 5 ° = 0.0556 quad
5 ÷ 90 = 0.0556
Example 3: 10 ° = 0.1111 quad
10 ÷ 90 = 0.1111

Degrees to Quadrants Table

DegreesQuadrants
1 °0.0111 quad
2 °0.0222 quad
5 °0.0556 quad
10 °0.1111 quad
20 °0.2222 quad
25 °0.2778 quad
50 °0.5556 quad
100 °1.1111 quad
250 °2.7778 quad
500 °5.5556 quad
1000 °11.1111 quad

1 Degree in Other Units

Unit1 ° =
Degrees to Radians0.017453 rad
Degrees to Gradians1.1111 grad
Degrees to Turns0.002778 turn
Degrees to Arc Minutes59.9999
Degrees to Arc Seconds3600
Degrees to Milliradians17.4533 mrad
Degrees to Revolutions0.002778 rev
Degrees to Quadrants0.011111 quad
Degrees to Sextants0.016667 sext

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