A 192° angle is a reflex angle: it is bigger than a straight line (180°) but less than a full turn (360°). It is the "outside" of a 168° angle: together they make a full 360° circle.
192° is 8/15 of a full circle, or 16π/15 radians. The minute hand of a clock sweeps 192° in 32 minutes. If you face north and turn 192° clockwise, you end up facing between S and SSW (closest to south-southwest (SSW)).
192° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 168° |
| Radians | 16π/15 ≈ 3.351032 |
| Gradians | 213.3333 grad |
| Fraction of a turn | 8/15 (53.33%) |
| Degrees, minutes, seconds | 192° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south-southwest (SSW)) |
Trigonometric values of 192°
| Function | Value |
|---|---|
| sin 192° | −0.207912 |
| cos 192° | −0.978148 |
| tan 192° | 0.212557 |
192° on a protractor
How to draw a 192° angle with a protractor
- Subtract from 360°: 360° − 192° = 168°. 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 168°.
- Join the vertex to the dot. The inside angle is 168°; the outside angle, going the long way around, is 192°. Draw the angle arc on the outside and label it 192°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 192° directly.
Drawing it a 192° angle without a protractor (rise and run method)
- 192° = 180° − 12°. Draw a straight line, pick a vertex on it, and build a 12° angle on one side as follows; the angle on the other side of the new line is 168°.
- 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 2.13 inches (about 2 1/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 12°, because tan 12° ≈ 0.2126.
- That gives you 168°. The outside (reflex) angle is 192°.
Where you see 192° angles
- The Earth turns 192° on its axis in about 12 h 48 min.
- A 192° 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
192° angle FAQ
What type of angle is 192°?
A 192° angle is a reflex angle, because it is between 180° and 360°.
Does a 192° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 192° is already larger than both. What it does have is an explement (conjugate) of 168°, the angle that completes a full 360° circle.
How many radians is 192 degrees?
192° = 16π/15 radians ≈ 3.351 rad. To convert degrees to radians, multiply by π/180: 192 × π/180 = 16π/15.
How do I measure a 192° angle on my screen?
Open the online protractor with 192° preset, or type 192 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
