At 334°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 26° angle: together they make a full 360° circle.
334° is 167/180 of a full circle, or 167π/90 radians. If you face north and turn 334° clockwise, you end up facing between NW and NNW (closest to north-northwest (NNW)).
334° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 26° |
| Radians | 167π/90 ≈ 5.8294 |
| Gradians | 371.1111 grad |
| Fraction of a turn | 167/180 (92.78%) |
| Degrees, minutes, seconds | 334° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to north-northwest (NNW)) |
Trigonometric values of 334°
| Function | Value |
|---|---|
| sin 334° | −0.438371 |
| cos 334° | 0.898794 |
| tan 334° | −0.487733 |
334° on a protractor
How to draw a 334° angle with a protractor
- Subtract from 360°: 360° − 334° = 26°. 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 26°.
- Join the vertex to the dot. The inside angle is 26°; the outside angle, going the long way around, is 334°. Draw the angle arc on the outside and label it 334°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 334° directly.
Drawing it a 334° 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 4.88 inches (about 4 7/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 26°, because tan 26° ≈ 0.4877.
- That gives you 26°. The outside (reflex) angle is 334°.
Where you see 334° angles
- The Earth turns 334° on its axis in about 22 h 16 min.
- A 334° 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
334° angle FAQ
What type of angle is 334°?
A 334° angle is a reflex angle, because it is between 180° and 360°.
Does a 334° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 334° is already larger than both. What it does have is an explement (conjugate) of 26°, the angle that completes a full 360° circle.
How many radians is 334 degrees?
334° = 167π/90 radians ≈ 5.8294 rad. To convert degrees to radians, multiply by π/180: 334 × π/180 = 167π/90.
How do I measure a 334° angle on my screen?
Open the online protractor with 334° preset, or type 334 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
