A 344° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 16° angle: together they make a full 360° circle.
344° is 43/45 of a full circle, or 86π/45 radians. If you face north and turn 344° clockwise, you end up facing between NNW and N (closest to north-northwest (NNW)).
344° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 16° |
| Radians | 86π/45 ≈ 6.003933 |
| Gradians | 382.2222 grad |
| Fraction of a turn | 43/45 (95.56%) |
| Degrees, minutes, seconds | 344° 0′ 0″ |
| Compass bearing | between NNW and N (closest to north-northwest (NNW)) |
Trigonometric values of 344°
| Function | Value |
|---|---|
| sin 344° | −0.275637 |
| cos 344° | 0.961262 |
| tan 344° | −0.286745 |
344° on a protractor
How to draw a 344° angle with a protractor
- Subtract from 360°: 360° − 344° = 16°. 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 16°.
- Join the vertex to the dot. The inside angle is 16°; the outside angle, going the long way around, is 344°. Draw the angle arc on the outside and label it 344°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 344° directly.
Drawing it a 344° 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 2.87 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 16°. The outside (reflex) angle is 344°.
Where you see 344° angles
- The Earth turns 344° on its axis in about 22 h 56 min.
- A 344° 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
344° angle FAQ
What type of angle is 344°?
A 344° angle is a reflex angle, because it is between 180° and 360°.
Does a 344° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 344° is already larger than both. What it does have is an explement (conjugate) of 16°, the angle that completes a full 360° circle.
How many radians is 344 degrees?
344° = 86π/45 radians ≈ 6.0039 rad. To convert degrees to radians, multiply by π/180: 344 × π/180 = 86π/45.
How do I measure a 344° angle on my screen?
Open the online protractor with 344° preset, or type 344 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
