At 196°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 164° angle: together they make a full 360° circle.
196° is 49/90 of a full circle, or 49π/45 radians. If you face north and turn 196° clockwise, you end up facing between S and SSW (closest to south-southwest (SSW)).
196° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 164° |
| Radians | 49π/45 ≈ 3.420845 |
| Gradians | 217.7778 grad |
| Fraction of a turn | 49/90 (54.44%) |
| Degrees, minutes, seconds | 196° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south-southwest (SSW)) |
Trigonometric values of 196°
| Function | Value |
|---|---|
| sin 196° | −0.275637 |
| cos 196° | −0.961262 |
| tan 196° | 0.286745 |
196° on a protractor
How to draw a 196° angle with a protractor
- Subtract from 360°: 360° − 196° = 164°. 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 164°.
- Join the vertex to the dot. The inside angle is 164°; the outside angle, going the long way around, is 196°. Draw the angle arc on the outside and label it 196°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 196° directly.
Drawing it a 196° angle without a protractor (rise and run method)
- 196° = 180° − 16°. Draw a straight line, pick a vertex on it, and build a 16° angle on one side as follows; the angle on the other side of the new line is 164°.
- 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 2.87 inches (about 2 7/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 16°, because tan 16° ≈ 0.2867.
- That gives you 164°. The outside (reflex) angle is 196°.
Where you see 196° angles
- The Earth turns 196° on its axis in about 13 h 4 min.
- A 196° 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
196° angle FAQ
What type of angle is 196°?
A 196° angle is a reflex angle, because it is between 180° and 360°.
Does a 196° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 196° is already larger than both. What it does have is an explement (conjugate) of 164°, the angle that completes a full 360° circle.
How many radians is 196 degrees?
196° = 49π/45 radians ≈ 3.4208 rad. To convert degrees to radians, multiply by π/180: 196 × π/180 = 49π/45.
How do I measure a 196° angle on my screen?
Open the online protractor with 196° preset, or type 196 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
