At 190°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 170° angle: together they make a full 360° circle.
190° is 19/36 of a full circle, or 19π/18 radians. If you face north and turn 190° clockwise, you end up facing between S and SSW (closest to south (S)).
190° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 170° |
| Radians | 19π/18 ≈ 3.316126 |
| Gradians | 211.1111 grad |
| Fraction of a turn | 19/36 (52.78%) |
| Degrees, minutes, seconds | 190° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south (S)) |
Trigonometric values of 190°
| Function | Value |
|---|---|
| sin 190° | −0.173648 |
| cos 190° | −0.984808 |
| tan 190° | 0.176327 |
190° on a protractor
How to draw a 190° angle with a protractor
- Subtract from 360°: 360° − 190° = 170°. A standard protractor only goes to 180°, so you draw the smaller angle first.
- Draw a straight line with a ruler and mark the vertex at one end.
- Place the protractor's center mark on the vertex, line up the 0° baseline with your line, and make a dot at 170°.
- Join the vertex to the dot. The inside angle is 170°; the outside angle, going the long way around, is 190°. Draw the angle arc on the outside and label it 190°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 190° directly.
Drawing it a 190° angle without a protractor (rise and run method)
- 190° = 180° − 10°. Draw a straight line, pick a vertex on it, and build a 10° angle on one side as follows; the angle on the other side of the new line is 170°.
- Draw a straight baseline and measure exactly 10 inches along it from the vertex.
- At the 10-inch mark, draw a short line straight up at 90° (use a carpenter's square or the corner of a sheet of paper).
- Measure 1.76 inches (about 1 3/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 10°, because tan 10° ≈ 0.1763.
- That gives you 170°. The outside (reflex) angle is 190°.
Where you see 190° angles
- The Earth turns 190° on its axis in about 12 h 40 min.
- A 190° reflex angle is what you measure when you go the "long way" around, like the outside corner of a building or a turn of more than half a circle.
Related angles
190° angle FAQ
What type of angle is 190°?
A 190° angle is a reflex angle, because it is between 180° and 360°.
Does a 190° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 190° is already larger than both. What it does have is an explement (conjugate) of 170°, the angle that completes a full 360° circle.
How many radians is 190 degrees?
190° = 19π/18 radians ≈ 3.3161 rad. To convert degrees to radians, multiply by π/180: 190 × π/180 = 19π/18.
How do I measure a 190° angle on my screen?
Open the online protractor with 190° preset, or type 190 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
