At 346°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 14° angle: together they make a full 360° circle.
346° is 173/180 of a full circle, or 173π/90 radians. If you face north and turn 346° clockwise, you end up facing between NNW and N (closest to north-northwest (NNW)).
346° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 14° |
| Radians | 173π/90 ≈ 6.038839 |
| Gradians | 384.4444 grad |
| Fraction of a turn | 173/180 (96.11%) |
| Degrees, minutes, seconds | 346° 0′ 0″ |
| Compass bearing | between NNW and N (closest to north-northwest (NNW)) |
Trigonometric values of 346°
| Function | Value |
|---|---|
| sin 346° | −0.241922 |
| cos 346° | 0.970296 |
| tan 346° | −0.249328 |
346° on a protractor
How to draw a 346° angle with a protractor
- Subtract from 360°: 360° − 346° = 14°. 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 14°.
- Join the vertex to the dot. The inside angle is 14°; the outside angle, going the long way around, is 346°. Draw the angle arc on the outside and label it 346°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 346° directly.
Drawing it a 346° angle without a protractor (rise and run method)
- 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 2.49 inches (about 2 1/2″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 14°, because tan 14° ≈ 0.2493.
- That gives you 14°. The outside (reflex) angle is 346°.
Where you see 346° angles
- The Earth turns 346° on its axis in about 23 h 4 min.
- A 346° 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
346° angle FAQ
What type of angle is 346°?
A 346° angle is a reflex angle, because it is between 180° and 360°.
Does a 346° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 346° is already larger than both. What it does have is an explement (conjugate) of 14°, the angle that completes a full 360° circle.
How many radians is 346 degrees?
346° = 173π/90 radians ≈ 6.0388 rad. To convert degrees to radians, multiply by π/180: 346 × π/180 = 173π/90.
How do I measure a 346° angle on my screen?
Open the online protractor with 346° preset, or type 346 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
