At 337°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 23° angle: together they make a full 360° circle.
337° is 337/360 of a full circle, or 337π/180 radians. If you face north and turn 337° clockwise, you end up facing between NW and NNW (closest to north-northwest (NNW)).
337° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 23° |
| Radians | 337π/180 ≈ 5.88176 |
| Gradians | 374.4444 grad |
| Fraction of a turn | 337/360 (93.61%) |
| Degrees, minutes, seconds | 337° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to north-northwest (NNW)) |
Trigonometric values of 337°
| Function | Value |
|---|---|
| sin 337° | −0.390731 |
| cos 337° | 0.920505 |
| tan 337° | −0.424475 |
337° on a protractor
How to draw a 337° angle with a protractor
- Subtract from 360°: 360° − 337° = 23°. 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 23°.
- Join the vertex to the dot. The inside angle is 23°; the outside angle, going the long way around, is 337°. Draw the angle arc on the outside and label it 337°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 337° directly.
Drawing it a 337° 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 4.24 inches (about 4 1/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 23°, because tan 23° ≈ 0.4245.
- That gives you 23°. The outside (reflex) angle is 337°.
Where you see 337° angles
- The Earth turns 337° on its axis in about 22 h 28 min.
- A 337° 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
337° angle FAQ
What type of angle is 337°?
A 337° angle is a reflex angle, because it is between 180° and 360°.
Does a 337° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 337° is already larger than both. What it does have is an explement (conjugate) of 23°, the angle that completes a full 360° circle.
How many radians is 337 degrees?
337° = 337π/180 radians ≈ 5.8818 rad. To convert degrees to radians, multiply by π/180: 337 × π/180 = 337π/180.
How do I measure a 337° angle on my screen?
Open the online protractor with 337° preset, or type 337 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
