At 193°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 167° angle: together they make a full 360° circle.
193° is 193/360 of a full circle, or 193π/180 radians. If you face north and turn 193° clockwise, you end up facing between S and SSW (closest to south-southwest (SSW)).
193° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 167° |
| Radians | 193π/180 ≈ 3.368485 |
| Gradians | 214.4444 grad |
| Fraction of a turn | 193/360 (53.61%) |
| Degrees, minutes, seconds | 193° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south-southwest (SSW)) |
Trigonometric values of 193°
| Function | Value |
|---|---|
| sin 193° | −0.224951 |
| cos 193° | −0.97437 |
| tan 193° | 0.230868 |
193° on a protractor
How to draw a 193° angle with a protractor
- Subtract from 360°: 360° − 193° = 167°. 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 167°.
- Join the vertex to the dot. The inside angle is 167°; the outside angle, going the long way around, is 193°. Draw the angle arc on the outside and label it 193°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 193° directly.
Drawing it a 193° angle without a protractor (rise and run method)
- 193° = 180° − 13°. Draw a straight line, pick a vertex on it, and build a 13° angle on one side as follows; the angle on the other side of the new line is 167°.
- 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 2.31 inches (about 2 5/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 13°, because tan 13° ≈ 0.2309.
- That gives you 167°. The outside (reflex) angle is 193°.
Where you see 193° angles
- The Earth turns 193° on its axis in about 12 h 52 min.
- A 193° 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
193° angle FAQ
What type of angle is 193°?
A 193° angle is a reflex angle, because it is between 180° and 360°.
Does a 193° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 193° is already larger than both. What it does have is an explement (conjugate) of 167°, the angle that completes a full 360° circle.
How many radians is 193 degrees?
193° = 193π/180 radians ≈ 3.3685 rad. To convert degrees to radians, multiply by π/180: 193 × π/180 = 193π/180.
How do I measure a 193° angle on my screen?
Open the online protractor with 193° preset, or type 193 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
