A 336° angle is a reflex angle: it is bigger than a straight line (180°) but less than a full turn (360°). It is the "outside" of a 24° angle: together they make a full 360° circle.
336° is 14/15 of a full circle, or 28π/15 radians. The minute hand of a clock sweeps 336° in 56 minutes. If you face north and turn 336° clockwise, you end up facing between NW and NNW (closest to north-northwest (NNW)).
336° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 24° |
| Radians | 28π/15 ≈ 5.864306 |
| Gradians | 373.3333 grad |
| Fraction of a turn | 14/15 (93.33%) |
| Degrees, minutes, seconds | 336° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to north-northwest (NNW)) |
Trigonometric values of 336°
| Function | Value |
|---|---|
| sin 336° | −0.406737 |
| cos 336° | 0.913545 |
| tan 336° | −0.445229 |
336° on a protractor
How to draw a 336° angle with a protractor
- Subtract from 360°: 360° − 336° = 24°. 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 24°.
- Join the vertex to the dot. The inside angle is 24°; the outside angle, going the long way around, is 336°. Draw the angle arc on the outside and label it 336°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 336° directly.
Drawing it a 336° 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 4.45 inches (about 4 7/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 24°, because tan 24° ≈ 0.4452.
- That gives you 24°. The outside (reflex) angle is 336°.
Where you see 336° angles
- The Earth turns 336° on its axis in about 22 h 24 min.
- A 336° 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
336° angle FAQ
What type of angle is 336°?
A 336° angle is a reflex angle, because it is between 180° and 360°.
Does a 336° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 336° is already larger than both. What it does have is an explement (conjugate) of 24°, the angle that completes a full 360° circle.
How many radians is 336 degrees?
336° = 28π/15 radians ≈ 5.8643 rad. To convert degrees to radians, multiply by π/180: 336 × π/180 = 28π/15.
How do I measure a 336° angle on my screen?
Open the online protractor with 336° preset, or type 336 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
