A 335° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 25° angle: together they make a full 360° circle.
335° is 67/72 of a full circle, or 67π/36 radians. If you face north and turn 335° clockwise, you end up facing between NW and NNW (closest to north-northwest (NNW)).
335° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 25° |
| Radians | 67π/36 ≈ 5.846853 |
| Gradians | 372.2222 grad |
| Fraction of a turn | 67/72 (93.06%) |
| Degrees, minutes, seconds | 335° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to north-northwest (NNW)) |
Trigonometric values of 335°
| Function | Value |
|---|---|
| sin 335° | −0.422618 |
| cos 335° | 0.906308 |
| tan 335° | −0.466308 |
335° on a protractor
How to draw a 335° angle with a protractor
- Subtract from 360°: 360° − 335° = 25°. 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 25°.
- Join the vertex to the dot. The inside angle is 25°; the outside angle, going the long way around, is 335°. Draw the angle arc on the outside and label it 335°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 335° directly.
Drawing it a 335° 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 4.66 inches (about 4 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 25°, because tan 25° ≈ 0.4663.
- That gives you 25°. The outside (reflex) angle is 335°.
Where you see 335° angles
- The Earth turns 335° on its axis in about 22 h 20 min.
- A 335° 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
335° angle FAQ
What type of angle is 335°?
A 335° angle is a reflex angle, because it is between 180° and 360°.
Does a 335° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 335° is already larger than both. What it does have is an explement (conjugate) of 25°, the angle that completes a full 360° circle.
How many radians is 335 degrees?
335° = 67π/36 radians ≈ 5.8469 rad. To convert degrees to radians, multiply by π/180: 335 × π/180 = 67π/36.
How do I measure a 335° angle on my screen?
Open the online protractor with 335° preset, or type 335 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
